flux_fhir_analysis/conv/

mod.rs

//! Conversion from types in [`fhir`] to types in [`rty`]
//!
//! Conversion assumes well-formedness and will panic if type are not well-formed. Among other things,
//! well-formedness implies:
//! 1. Names are bound correctly.
//! 2. Refinement parameters appear in allowed positions. This is particularly important for
//!    refinement predicates, aka abstract refinements, since the syntax in [`rty`] has
//!    syntactic restrictions on predicates.
//! 3. Refinements are well-sorted.

pub mod struct_compat;
use std::{borrow::Borrow, iter};

use flux_common::{
    bug,
    dbg::{self, SpanTrace},
    iter::IterExt,
    result::ResultExt as _,
    span_bug,
};
use flux_middle::{
    THEORY_FUNCS,
    def_id::{FluxDefId, MaybeExternId},
    fhir::{self, FhirId, FluxOwnerId, QPathExpr},
    global_env::GlobalEnv,
    queries::{QueryErr, QueryResult},
    query_bug,
    rty::{
        self, AssocReft, BoundReftKind, ESpan, INNERMOST, InternalFuncKind, List, RefineArgsExt,
        WfckResults,
        fold::TypeFoldable,
        refining::{self, Refine, Refiner},
    },
};
use flux_rustc_bridge::{
    ToRustc,
    lowering::{Lower, UnsupportedErr},
};
use itertools::Itertools;
use rustc_data_structures::{
    fx::{FxHashMap, FxIndexMap},
    unord::UnordMap,
};
use rustc_errors::Diagnostic;
use rustc_hash::FxHashSet;
use rustc_hir::{self as hir, BodyId, OwnerId, Safety, def::DefKind, def_id::DefId};
use rustc_index::IndexVec;
use rustc_middle::{
    middle::resolve_bound_vars::ResolvedArg,
    ty::{self, AssocItem, AssocTag, BoundVar, TyCtxt},
};
use rustc_span::{
    DUMMY_SP, ErrorGuaranteed, Span, Symbol,
    symbol::{Ident, kw},
};
use rustc_trait_selection::traits;
use rustc_type_ir::DebruijnIndex;

/// Wrapper over a type implementing [`ConvPhase`]. We have this to implement most functionality as
/// inherent methods instead of defining them as default implementation in the trait definition.
#[repr(transparent)]
pub struct ConvCtxt<P>(P);

pub(crate) struct AfterSortck<'a, 'genv, 'tcx> {
    genv: GlobalEnv<'genv, 'tcx>,
    wfckresults: &'a WfckResults,
    next_sort_index: u32,
    next_type_index: u32,
    next_region_index: u32,
    next_const_index: u32,
}

/// We do conversion twice: once before sort checking when we don't have elaborated information
/// and then again after sort checking after all information has been elaborated. This is the
/// interface to configure conversion for both *phases*.
pub trait ConvPhase<'genv, 'tcx>: Sized {
    /// Whether to expand type aliases or to generate a *weak* [`rty::AliasTy`].
    const EXPAND_TYPE_ALIASES: bool;

    /// Whether we have elaborated information or not (in the first phase we will not, but in the
    /// second we will).
    const HAS_ELABORATED_INFORMATION: bool;

    type Results: WfckResultsProvider;

    fn genv(&self) -> GlobalEnv<'genv, 'tcx>;

    fn owner(&self) -> FluxOwnerId;

    fn next_sort_vid(&mut self) -> rty::SortVid;

    fn next_type_vid(&mut self) -> rty::TyVid;

    fn next_region_vid(&mut self) -> rty::RegionVid;

    fn next_const_vid(&mut self) -> rty::ConstVid;

    fn results(&self) -> &Self::Results;

    /// Called during the first phase to collect the sort associated to a node which
    /// would be hard to recompute from `fhir` otherwise. Currently, this is being
    /// called when converting:
    /// * An indexed type `b[e]` with the `fhir_id` and sort of `b`.
    /// * A [`fhir::PathExpr`] with the `fhir_id` and sort of the path.
    fn insert_node_sort(&mut self, fhir_id: FhirId, sort: rty::Sort);

    /// Called after converting a path with the generic arguments. Using during the first phase
    /// to instantiate sort of generic refinements.
    fn insert_path_args(&mut self, fhir_id: FhirId, args: rty::GenericArgs);

    /// Called after converting an [`fhir::ExprKind::Alias`] with the sort of the resulting
    /// [`rty::AliasReft`]. Used during the first phase to collect the sorts of refinement aliases.
    fn insert_alias_reft_sort(&mut self, fhir_id: FhirId, fsort: rty::FuncSort);

    fn into_conv_ctxt(self) -> ConvCtxt<Self> {
        ConvCtxt(self)
    }

    fn as_conv_ctxt(&mut self) -> &mut ConvCtxt<Self> {
        // SAFETY: `ConvCtxt` is `repr(transparent)` and it doesn't have any safety invariants.
        unsafe { std::mem::transmute(self) }
    }
}

/// An interface to the information elaborated during sort checking. We mock these results in
/// the first conversion phase during sort checking.
pub trait WfckResultsProvider: Sized {
    fn bin_op_sort(&self, fhir_id: FhirId) -> rty::Sort;

    fn coercions_for(&self, fhir_id: FhirId) -> &[rty::Coercion];

    fn field_proj(&self, fhir_id: FhirId) -> rty::FieldProj;

    fn record_ctor(&self, fhir_id: FhirId) -> DefId;

    fn param_sort(&self, param_id: fhir::ParamId) -> rty::Sort;

    fn node_sort(&self, fhir_id: FhirId) -> rty::Sort;

    fn node_sort_args(&self, fhir_id: FhirId) -> List<rty::SortArg>;
}

impl<'genv, 'tcx> ConvPhase<'genv, 'tcx> for AfterSortck<'_, 'genv, 'tcx> {
    const EXPAND_TYPE_ALIASES: bool = true;
    const HAS_ELABORATED_INFORMATION: bool = true;

    type Results = WfckResults;

    fn genv(&self) -> GlobalEnv<'genv, 'tcx> {
        self.genv
    }

    fn owner(&self) -> FluxOwnerId {
        self.wfckresults.owner
    }

    fn next_sort_vid(&mut self) -> rty::SortVid {
        self.next_sort_index = self.next_sort_index.checked_add(1).unwrap();
        rty::SortVid::from_u32(self.next_sort_index - 1)
    }

    fn next_type_vid(&mut self) -> rty::TyVid {
        self.next_type_index = self.next_type_index.checked_add(1).unwrap();
        rty::TyVid::from_u32(self.next_type_index - 1)
    }

    fn next_region_vid(&mut self) -> rty::RegionVid {
        self.next_region_index = self.next_region_index.checked_add(1).unwrap();
        rty::RegionVid::from_u32(self.next_region_index - 1)
    }

    fn next_const_vid(&mut self) -> rty::ConstVid {
        self.next_const_index = self.next_const_index.checked_add(1).unwrap();
        rty::ConstVid::from_u32(self.next_const_index - 1)
    }

    fn results(&self) -> &Self::Results {
        self.wfckresults
    }

    fn insert_node_sort(&mut self, _: FhirId, _: rty::Sort) {}

    fn insert_path_args(&mut self, _: FhirId, _: rty::GenericArgs) {}

    fn insert_alias_reft_sort(&mut self, _: FhirId, _: rty::FuncSort) {}
}

impl WfckResultsProvider for WfckResults {
    fn bin_op_sort(&self, fhir_id: FhirId) -> rty::Sort {
        self.bin_op_sorts()
            .get(fhir_id)
            .cloned()
            .unwrap_or_else(|| bug!("binary operation without elaborated sort `{fhir_id:?}`"))
    }

    fn coercions_for(&self, fhir_id: FhirId) -> &[rty::Coercion] {
        self.coercions().get(fhir_id).map_or(&[][..], Vec::as_slice)
    }

    fn field_proj(&self, fhir_id: FhirId) -> rty::FieldProj {
        *self
            .field_projs()
            .get(fhir_id)
            .unwrap_or_else(|| bug!("field projection without elaboration `{fhir_id:?}`"))
    }

    fn record_ctor(&self, fhir_id: FhirId) -> DefId {
        *self
            .record_ctors()
            .get(fhir_id)
            .unwrap_or_else(|| bug!("unelaborated record constructor `{fhir_id:?}`"))
    }

    fn param_sort(&self, param_id: fhir::ParamId) -> rty::Sort {
        self.param_sorts()
            .get(&param_id)
            .unwrap_or_else(|| bug!("unresolved sort for param `{param_id:?}`"))
            .clone()
    }

    fn node_sort(&self, fhir_id: FhirId) -> rty::Sort {
        self.node_sorts()
            .get(fhir_id)
            .unwrap_or_else(|| bug!("node without elaborated sort for `{fhir_id:?}`"))
            .clone()
    }

    fn node_sort_args(&self, fhir_id: FhirId) -> List<rty::SortArg> {
        self.fn_app_sorts()
            .get(fhir_id)
            .unwrap_or_else(|| bug!("fn-app node without elaborated sort_args for `{fhir_id:?}`"))
            .clone()
    }
}

#[derive(Debug)]
pub(crate) struct Env {
    layers: Vec<Layer>,
    early_params: FxIndexMap<fhir::ParamId, Symbol>,
}

#[derive(Debug, Clone)]
struct Layer {
    map: FxIndexMap<fhir::ParamId, ParamEntry>,
    kind: LayerKind,
}

/// Whether the list of parameters in a layer is converted into a list of bound variables or
/// coalesced into a single parameter of [adt] sort.
///
/// [adt]: rty::SortCtor::Adt
#[derive(Debug, Clone, Copy)]
enum LayerKind {
    List {
        /// The number of regions bound in this layer. Since regions and refinements are both
        /// bound with a [`rty::Binder`] we need to keep track of the number of bound regions
        /// to skip them when assigning an index to refinement parameters.
        bound_regions: u32,
    },
    Coalesce(DefId),
}

#[derive(Debug, Clone)]
struct ParamEntry {
    name: Symbol,
    sort: rty::Sort,
    mode: rty::InferMode,
}

#[derive(Debug)]
struct LookupResult<'a> {
    kind: LookupResultKind<'a>,
    /// The span of the variable that originated the lookup.
    var_span: Span,
}

#[derive(Debug)]
enum LookupResultKind<'a> {
    Bound {
        debruijn: DebruijnIndex,
        entry: &'a ParamEntry,
        kind: LayerKind,
        /// The index of the parameter in the layer.
        index: u32,
    },
    EarlyParam {
        name: Symbol,
        /// The index of the parameter.
        index: u32,
    },
}

pub(crate) fn conv_adt_sort_def(
    genv: GlobalEnv,
    def_id: MaybeExternId,
    kind: &fhir::RefinementKind,
) -> QueryResult<rty::AdtSortDef> {
    let wfckresults = &WfckResults::new(OwnerId { def_id: def_id.local_id() });
    let mut cx = AfterSortck::new(genv, wfckresults).into_conv_ctxt();
    match kind {
        fhir::RefinementKind::Refined(refined_by) => {
            let params = refined_by
                .sort_params
                .iter()
                .map(|def_id| def_id_to_param_ty(genv, *def_id))
                .collect();
            let fields = refined_by
                .fields
                .iter()
                .map(|(name, sort)| -> QueryResult<_> { Ok((*name, cx.conv_sort(sort)?)) })
                .try_collect_vec()?;
            let variants = IndexVec::from([rty::AdtSortVariant::new(fields)]);
            let def_id = def_id.resolved_id();
            Ok(rty::AdtSortDef::new(def_id, params, variants, false, true))
        }
        fhir::RefinementKind::Reflected => {
            let enum_def_id = def_id.resolved_id();
            let mut variants = IndexVec::new();
            for variant in genv.tcx().adt_def(enum_def_id).variants() {
                if let Some(field) = variant.fields.iter().next() {
                    let span = genv.tcx().def_span(field.did);
                    let err = genv
                        .sess()
                        .emit_err(errors::FieldsOnReflectedEnumVariant::new(span));
                    Err(err)?;
                }
                variants.push(rty::AdtSortVariant::new(vec![]));
            }
            Ok(rty::AdtSortDef::new(enum_def_id, vec![], variants, true, false))
        }
    }
}

pub(crate) fn conv_generics(
    genv: GlobalEnv,
    generics: &fhir::Generics,
    def_id: MaybeExternId,
    is_trait: bool,
) -> rty::Generics {
    let opt_self = is_trait.then(|| {
        let kind = rty::GenericParamDefKind::Base { has_default: false };
        rty::GenericParamDef { index: 0, name: kw::SelfUpper, def_id: def_id.resolved_id(), kind }
    });
    let rust_generics = genv.tcx().generics_of(def_id.resolved_id());
    let params = {
        opt_self
            .into_iter()
            .chain(rust_generics.own_params.iter().flat_map(|rust_param| {
                // We have to filter out late bound parameters
                let param = generics
                    .params
                    .iter()
                    .find(|param| param.def_id.resolved_id() == rust_param.def_id)?;
                Some(rty::GenericParamDef {
                    kind: conv_generic_param_kind(&param.kind),
                    def_id: param.def_id.resolved_id(),
                    index: rust_param.index,
                    name: rust_param.name,
                })
            }))
            .collect_vec()
    };

    let rust_generics = genv.tcx().generics_of(def_id.resolved_id());
    rty::Generics {
        own_params: List::from_vec(params),
        parent: rust_generics.parent,
        parent_count: rust_generics.parent_count,
        has_self: rust_generics.has_self,
    }
}

pub(crate) fn conv_refinement_generics(
    params: &[fhir::RefineParam],
    wfckresults: &WfckResults,
) -> QueryResult<List<rty::RefineParam>> {
    params
        .iter()
        .map(|param| {
            let sort = wfckresults.param_sort(param.id);
            let mode = rty::InferMode::from_param_kind(param.kind);
            Ok(rty::RefineParam { sort, name: param.name, mode })
        })
        .try_collect()
}

fn conv_generic_param_kind(kind: &fhir::GenericParamKind) -> rty::GenericParamDefKind {
    match kind {
        fhir::GenericParamKind::Type { default } => {
            rty::GenericParamDefKind::Base { has_default: default.is_some() }
        }
        fhir::GenericParamKind::Lifetime => rty::GenericParamDefKind::Lifetime,
        fhir::GenericParamKind::Const { .. } => {
            rty::GenericParamDefKind::Const { has_default: false }
        }
    }
}

pub(crate) fn conv_default_type_parameter(
    genv: GlobalEnv,
    def_id: MaybeExternId,
    ty: &fhir::Ty,
    wfckresults: &WfckResults,
) -> QueryResult<rty::TyOrBase> {
    let mut env = Env::new(&[]);
    let idx = genv.def_id_to_param_index(def_id.resolved_id());
    let owner = ty_param_owner(genv, def_id.resolved_id());
    let param = genv.generics_of(owner)?.param_at(idx as usize, genv)?;
    let mut cx = AfterSortck::new(genv, wfckresults).into_conv_ctxt();
    let rty_ty = cx.conv_ty(&mut env, ty, None)?;
    cx.try_to_ty_or_base(param.kind, ty.span, &rty_ty)
}

impl<'a, 'genv, 'tcx> AfterSortck<'a, 'genv, 'tcx> {
    pub(crate) fn new(genv: GlobalEnv<'genv, 'tcx>, wfckresults: &'a WfckResults) -> Self {
        Self {
            genv,
            wfckresults,
            // We start sorts and types from 1 to skip the trait object dummy self type.
            // See [`rty::Ty::trait_object_dummy_self`]
            next_sort_index: 1,
            next_type_index: 1,
            next_region_index: 0,
            next_const_index: 0,
        }
    }
}

/// Delegate methods to P
impl<'genv, 'tcx: 'genv, P: ConvPhase<'genv, 'tcx>> ConvCtxt<P> {
    fn genv(&self) -> GlobalEnv<'genv, 'tcx> {
        self.0.genv()
    }

    fn tcx(&self) -> TyCtxt<'tcx> {
        self.0.genv().tcx()
    }

    fn owner(&self) -> FluxOwnerId {
        self.0.owner()
    }

    fn results(&self) -> &P::Results {
        self.0.results()
    }

    fn next_sort_vid(&mut self) -> rty::SortVid {
        self.0.next_sort_vid()
    }

    fn next_type_vid(&mut self) -> rty::TyVid {
        self.0.next_type_vid()
    }

    fn next_region_vid(&mut self) -> rty::RegionVid {
        self.0.next_region_vid()
    }

    fn next_const_vid(&mut self) -> rty::ConstVid {
        self.0.next_const_vid()
    }
}

fn variant_idx(tcx: TyCtxt, variant_def_id: DefId) -> rty::VariantIdx {
    let enum_def_id = tcx.parent(variant_def_id);
    tcx.adt_def(enum_def_id)
        .variant_index_with_id(variant_def_id)
}

/// Conversion of Flux items
impl<'genv, 'tcx: 'genv, P: ConvPhase<'genv, 'tcx>> ConvCtxt<P> {
    pub(crate) fn conv_qualifier(
        &mut self,
        qualifier: &fhir::Qualifier,
    ) -> QueryResult<rty::Qualifier> {
        let mut env = Env::new(&[]);
        env.push_layer(Layer::list(self.results(), 0, qualifier.args));
        let body = self.conv_expr(&mut env, &qualifier.expr)?;
        let body = rty::Binder::bind_with_vars(body, env.pop_layer().into_bound_vars(self.genv())?);
        Ok(rty::Qualifier { def_id: qualifier.def_id, body, kind: qualifier.kind })
    }

    pub(crate) fn conv_defn(
        &mut self,
        func: &fhir::SpecFunc,
    ) -> QueryResult<Option<rty::Binder<rty::Expr>>> {
        if let Some(body) = &func.body {
            let mut env = Env::new(&[]);
            env.push_layer(Layer::list(self.results(), 0, func.args));
            let expr = self.conv_expr(&mut env, body)?;
            let body =
                rty::Binder::bind_with_vars(expr, env.pop_layer().into_bound_vars(self.genv())?);
            Ok(Some(body))
        } else {
            Ok(None)
        }
    }

    pub(crate) fn conv_primop_prop(
        &mut self,
        primop_prop: &fhir::PrimOpProp,
    ) -> QueryResult<rty::PrimOpProp> {
        let mut env = Env::new(&[]);
        env.push_layer(Layer::list(self.results(), 0, primop_prop.args));
        let body = self.conv_expr(&mut env, &primop_prop.body)?;
        let body = rty::Binder::bind_with_vars(body, env.pop_layer().into_bound_vars(self.genv())?);
        let op = match primop_prop.op {
            fhir::BinOp::BitAnd => rty::BinOp::BitAnd(rty::Sort::Int),
            fhir::BinOp::BitOr => rty::BinOp::BitOr(rty::Sort::Int),
            fhir::BinOp::BitXor => rty::BinOp::BitXor(rty::Sort::Int),
            fhir::BinOp::BitShl => rty::BinOp::BitShl(rty::Sort::Int),
            fhir::BinOp::BitShr => rty::BinOp::BitShr(rty::Sort::Int),
            _ => {
                span_bug!(
                    primop_prop.span,
                    "unexpected binary operator in primitive property: {:?}",
                    primop_prop.op
                )
            }
        };
        Ok(rty::PrimOpProp { def_id: primop_prop.def_id, op, body })
    }
}

/// Conversion of definitions
impl<'genv, 'tcx: 'genv, P: ConvPhase<'genv, 'tcx>> ConvCtxt<P> {
    pub(crate) fn conv_constant_expr(&mut self, expr: &fhir::Expr) -> QueryResult<rty::Expr> {
        let mut env = Env::new(&[]);
        self.conv_expr(&mut env, expr)
    }

    pub(crate) fn conv_enum_variants(
        &mut self,
        enum_id: MaybeExternId,
        enum_def: &fhir::EnumDef,
    ) -> QueryResult<Vec<rty::PolyVariant>> {
        let reflected = enum_def.refinement.is_reflected();
        enum_def
            .variants
            .iter()
            .map(|variant| self.conv_enum_variant(enum_id, variant, reflected))
            .try_collect_vec()
    }

    fn conv_enum_variant(
        &mut self,
        enum_id: MaybeExternId,
        variant: &fhir::VariantDef,
        reflected: bool,
    ) -> QueryResult<rty::PolyVariant> {
        let mut env = Env::new(&[]);
        env.push_layer(Layer::list(self.results(), 0, variant.params));

        // TODO(RJ): just "lift" the fields, ignore any `variant` signatures if reflected?
        let fields = variant
            .fields
            .iter()
            .map(|field| self.conv_ty(&mut env, &field.ty, None))
            .try_collect()?;

        let adt_def = self.genv().adt_def(enum_id)?;
        let idxs = if reflected {
            let enum_def_id = enum_id.resolved_id();
            let idx = variant_idx(self.tcx(), variant.def_id.to_def_id());
            rty::Expr::ctor_enum(enum_def_id, idx)
        } else {
            self.conv_expr(&mut env, &variant.ret.idx)?
        };
        let variant = rty::VariantSig::new(
            adt_def,
            rty::GenericArg::identity_for_item(self.genv(), enum_id.resolved_id())?,
            fields,
            idxs,
            List::empty(),
        );

        Ok(rty::Binder::bind_with_vars(variant, env.pop_layer().into_bound_vars(self.genv())?))
    }

    pub(crate) fn conv_struct_variant(
        &mut self,
        struct_id: MaybeExternId,
        struct_def: &fhir::StructDef,
    ) -> QueryResult<rty::Opaqueness<rty::PolyVariant>> {
        let mut env = Env::new(&[]);
        env.push_layer(Layer::list(self.results(), 0, struct_def.params));

        if let fhir::StructKind::Transparent { fields } = &struct_def.kind {
            let adt_def = self.genv().adt_def(struct_id)?;

            let fields = fields
                .iter()
                .map(|field_def| self.conv_ty(&mut env, &field_def.ty, None))
                .try_collect()?;

            let vars = env.pop_layer().into_bound_vars(self.genv())?;
            let idx = rty::Expr::ctor_struct(
                struct_id.resolved_id(),
                (0..vars.len())
                    .map(|idx| {
                        rty::Expr::bvar(
                            INNERMOST,
                            BoundVar::from_usize(idx),
                            rty::BoundReftKind::Anon,
                        )
                    })
                    .collect(),
            );

            let requires = adt_def
                .invariants()
                .iter_identity()
                .map(|inv| inv.apply(&idx))
                .collect();

            let variant = rty::VariantSig::new(
                adt_def,
                rty::GenericArg::identity_for_item(self.genv(), struct_id.resolved_id())?,
                fields,
                idx,
                requires,
            );
            let variant = rty::Binder::bind_with_vars(variant, vars);
            Ok(rty::Opaqueness::Transparent(variant))
        } else {
            Ok(rty::Opaqueness::Opaque)
        }
    }

    pub(crate) fn conv_type_alias(
        &mut self,
        ty_alias_id: MaybeExternId,
        ty_alias: &fhir::TyAlias,
    ) -> QueryResult<rty::TyCtor> {
        let generics = self
            .genv()
            .fhir_get_generics(ty_alias_id.local_id())?
            .unwrap();

        let mut env = Env::new(generics.refinement_params);

        if let Some(index) = &ty_alias.index {
            env.push_layer(Layer::list(self.results(), 0, std::slice::from_ref(index)));
            let ty = self.conv_ty(&mut env, &ty_alias.ty, None)?;

            Ok(rty::Binder::bind_with_vars(ty, env.pop_layer().into_bound_vars(self.genv())?))
        } else {
            let ctor = self
                .conv_ty(&mut env, &ty_alias.ty, None)?
                .shallow_canonicalize()
                .as_ty_or_base()
                .as_base()
                .ok_or_else(|| self.emit(errors::InvalidBaseInstance::new(ty_alias.span)))?;
            Ok(ctor.to_ty_ctor())
        }
    }

    pub(crate) fn conv_fn_sig(
        &mut self,
        fn_id: MaybeExternId,
        fn_sig: &fhir::FnSig,
    ) -> QueryResult<rty::PolyFnSig> {
        let decl = &fn_sig.decl;
        let header = fn_sig.header;

        let late_bound_regions =
            refining::refine_bound_variables(&self.genv().lower_late_bound_vars(fn_id.local_id())?);

        let generics = self.genv().fhir_get_generics(fn_id.local_id())?.unwrap();
        let mut env = Env::new(generics.refinement_params);
        env.push_layer(Layer::list(self.results(), late_bound_regions.len() as u32, &[]));

        let body_id = self.tcx().hir_node_by_def_id(fn_id.local_id()).body_id();

        let fn_sig = self.conv_fn_decl(&mut env, header.safety(), header.abi, decl, body_id)?;

        let vars = late_bound_regions
            .iter()
            .chain(env.pop_layer().into_bound_vars(self.genv())?.iter())
            .cloned()
            .collect();

        Ok(rty::PolyFnSig::bind_with_vars(fn_sig, vars))
    }

    pub(crate) fn conv_generic_predicates(
        &mut self,
        def_id: MaybeExternId,
        generics: &fhir::Generics,
    ) -> QueryResult<rty::EarlyBinder<rty::GenericPredicates>> {
        let env = &mut Env::new(generics.refinement_params);

        let predicates = if let Some(fhir_predicates) = generics.predicates {
            let mut clauses = vec![];
            for pred in fhir_predicates {
                let span = pred.bounded_ty.span;
                let bounded_ty = self.conv_ty(env, &pred.bounded_ty, None)?;
                for clause in self.conv_generic_bounds(env, span, bounded_ty, pred.bounds)? {
                    clauses.push(clause);
                }
            }
            self.match_clauses(def_id, &clauses)?
        } else {
            self.genv()
                .lower_predicates_of(def_id)?
                .refine(&Refiner::default_for_item(self.genv(), def_id.resolved_id())?)?
        };
        Ok(rty::EarlyBinder(predicates))
    }

    fn match_clauses(
        &self,
        def_id: MaybeExternId,
        refined_clauses: &[rty::Clause],
    ) -> QueryResult<rty::GenericPredicates> {
        let tcx = self.genv().tcx();
        let predicates = tcx.predicates_of(def_id);
        let unrefined_clauses = predicates.predicates;

        // For each *refined clause* at index `j` find a corresponding *unrefined clause* at index
        // `i` and save a mapping `i -> j`.
        let mut map = UnordMap::default();
        for (j, clause) in refined_clauses.iter().enumerate() {
            let clause = clause.to_rustc(tcx);
            let Some((i, _)) = unrefined_clauses.iter().find_position(|it| it.0 == clause) else {
                self.emit_fail_to_match_predicates(def_id)?;
            };
            if map.insert(i, j).is_some() {
                self.emit_fail_to_match_predicates(def_id)?;
            }
        }

        // For each unrefined clause, create a default refined clause or use corresponding refined
        // clause if one was found.
        let refiner = Refiner::default_for_item(self.genv(), def_id.resolved_id())?;
        let mut clauses = vec![];
        for (i, (clause, span)) in unrefined_clauses.iter().enumerate() {
            let clause = if let Some(j) = map.get(&i) {
                refined_clauses[*j].clone()
            } else {
                clause
                    .lower(tcx)
                    .map_err(|reason| {
                        let err = UnsupportedErr::new(reason).with_span(*span);
                        QueryErr::unsupported(def_id.resolved_id(), err)
                    })?
                    .refine(&refiner)?
            };
            clauses.push(clause);
        }

        Ok(rty::GenericPredicates {
            parent: predicates.parent,
            predicates: List::from_vec(clauses),
        })
    }

    fn emit_fail_to_match_predicates(&self, def_id: MaybeExternId) -> Result<!, ErrorGuaranteed> {
        let span = self.tcx().def_span(def_id.resolved_id());
        Err(self.emit(errors::FailToMatchPredicates { span }))
    }

    pub(crate) fn conv_opaque_ty(
        &mut self,
        opaque_ty: &fhir::OpaqueTy,
    ) -> QueryResult<rty::Clauses> {
        let def_id = opaque_ty.def_id;
        let parent = self.tcx().local_parent(def_id.local_id());
        let refparams = &self
            .genv()
            .fhir_get_generics(parent)?
            .unwrap()
            .refinement_params;

        let env = &mut Env::new(refparams);

        let args = rty::GenericArg::identity_for_item(self.genv(), def_id.resolved_id())?;
        let alias_ty = rty::AliasTy::new(def_id.resolved_id(), args, env.to_early_param_args());
        let self_ty = rty::BaseTy::opaque(alias_ty).to_ty();
        // FIXME(nilehmann) use a good span here
        Ok(self
            .conv_generic_bounds(env, DUMMY_SP, self_ty, opaque_ty.bounds)?
            .into_iter()
            .collect())
    }

    pub(crate) fn conv_assoc_reft_body(
        &mut self,
        params: &[fhir::RefineParam],
        body: &fhir::Expr,
        output: &fhir::Sort,
    ) -> QueryResult<rty::Lambda> {
        let mut env = Env::new(&[]);
        env.push_layer(Layer::list(self.results(), 0, params));
        let expr = self.conv_expr(&mut env, body)?;
        let output = self.conv_sort(output)?;
        let inputs = env.pop_layer().into_bound_vars(self.genv())?;
        Ok(rty::Lambda::bind_with_vars(expr, inputs, output))
    }
}

/// Conversion of sorts
impl<'genv, 'tcx: 'genv, P: ConvPhase<'genv, 'tcx>> ConvCtxt<P> {
    pub(crate) fn conv_sort(&mut self, sort: &fhir::Sort) -> QueryResult<rty::Sort> {
        let sort = match sort {
            fhir::Sort::Path(path) => self.conv_sort_path(path)?,
            fhir::Sort::BitVec(size) => rty::Sort::BitVec(rty::BvSize::Fixed(*size)),
            fhir::Sort::Loc => rty::Sort::Loc,
            fhir::Sort::Func(fsort) => rty::Sort::Func(self.conv_poly_func_sort(fsort)?),
            fhir::Sort::SortOf(bty) => {
                let rty::TyOrCtor::Ctor(ty_ctor) = self.conv_bty(&mut Env::empty(), bty, None)?
                else {
                    // FIXME: maybe we should have a dedicated error for this
                    return Err(self.emit(errors::RefinedUnrefinableType::new(bty.span)))?;
                };
                ty_ctor.sort()
            }
            fhir::Sort::Infer => rty::Sort::Infer(self.next_sort_vid()),
            fhir::Sort::Err(_) => rty::Sort::Err,
        };
        Ok(sort)
    }

    fn conv_poly_func_sort(&mut self, sort: &fhir::PolyFuncSort) -> QueryResult<rty::PolyFuncSort> {
        let params = iter::repeat_n(rty::SortParamKind::Sort, sort.params).collect();
        Ok(rty::PolyFuncSort::new(params, self.conv_func_sort(&sort.fsort)?))
    }

    fn conv_func_sort(&mut self, fsort: &fhir::FuncSort) -> QueryResult<rty::FuncSort> {
        let inputs = fsort
            .inputs()
            .iter()
            .map(|sort| self.conv_sort(sort))
            .try_collect()?;
        Ok(rty::FuncSort::new(inputs, self.conv_sort(fsort.output())?))
    }

    fn conv_sort_path(&mut self, path: &fhir::SortPath) -> QueryResult<rty::Sort> {
        let ctor = match path.res {
            fhir::SortRes::PrimSort(fhir::PrimSort::Int) => {
                self.check_prim_sort_generics(path, fhir::PrimSort::Int)?;
                return Ok(rty::Sort::Int);
            }
            fhir::SortRes::PrimSort(fhir::PrimSort::Bool) => {
                self.check_prim_sort_generics(path, fhir::PrimSort::Bool)?;
                return Ok(rty::Sort::Bool);
            }
            fhir::SortRes::PrimSort(fhir::PrimSort::Real) => {
                self.check_prim_sort_generics(path, fhir::PrimSort::Real)?;
                return Ok(rty::Sort::Real);
            }
            fhir::SortRes::PrimSort(fhir::PrimSort::Char) => {
                self.check_prim_sort_generics(path, fhir::PrimSort::Char)?;
                return Ok(rty::Sort::Char);
            }
            fhir::SortRes::PrimSort(fhir::PrimSort::Str) => {
                self.check_prim_sort_generics(path, fhir::PrimSort::Str)?;
                return Ok(rty::Sort::Str);
            }
            fhir::SortRes::SortParam(n) => return Ok(rty::Sort::Var(rty::ParamSort::from(n))),
            fhir::SortRes::TyParam(def_id) => {
                if !path.args.is_empty() {
                    let err = errors::GenericsOnSortTyParam::new(
                        path.segments.last().unwrap().span,
                        path.args.len(),
                    );
                    Err(self.emit(err))?;
                }
                return Ok(rty::Sort::Param(def_id_to_param_ty(self.genv(), def_id)));
            }
            fhir::SortRes::SelfParam { .. } => {
                if !path.args.is_empty() {
                    let err = errors::GenericsOnSelf::new(
                        path.segments.last().unwrap().span,
                        path.args.len(),
                    );
                    Err(self.emit(err))?;
                }
                return Ok(rty::Sort::Param(rty::SELF_PARAM_TY));
            }
            fhir::SortRes::SelfAlias { alias_to } => {
                if !path.args.is_empty() {
                    let err = errors::GenericsOnSelf::new(
                        path.segments.last().unwrap().span,
                        path.args.len(),
                    );
                    Err(self.emit(err))?;
                }
                return Ok(self
                    .genv()
                    .sort_of_self_ty_alias(alias_to)?
                    .unwrap_or(rty::Sort::Err));
            }
            fhir::SortRes::SelfParamAssoc { trait_id, ident } => {
                let res = fhir::Res::SelfTyParam { trait_: trait_id };
                let assoc_segment =
                    fhir::PathSegment { args: &[], constraints: &[], ident, res: fhir::Res::Err };
                let mut env = Env::empty();
                let alias_ty =
                    self.conv_type_relative_type_path(&mut env, ident.span, res, &assoc_segment)?;
                return Ok(rty::Sort::Alias(rty::AliasKind::Projection, alias_ty));
            }
            fhir::SortRes::PrimSort(fhir::PrimSort::Set) => {
                self.check_prim_sort_generics(path, fhir::PrimSort::Set)?;
                rty::SortCtor::Set
            }
            fhir::SortRes::PrimSort(fhir::PrimSort::Map) => {
                self.check_prim_sort_generics(path, fhir::PrimSort::Map)?;
                rty::SortCtor::Map
            }
            fhir::SortRes::User(def_id) => {
                self.check_user_defined_sort_param_count(path, def_id)?;
                rty::SortCtor::User(def_id)
            }
            fhir::SortRes::Adt(def_id) => {
                let sort_def = self.genv().adt_sort_def_of(def_id)?;
                if path.args.len() != sort_def.param_count() {
                    let err = errors::IncorrectGenericsOnSort::new(
                        self.genv(),
                        def_id,
                        path.segments.last().unwrap().span,
                        path.args.len(),
                        sort_def.param_count(),
                    );
                    Err(self.emit(err))?;
                }
                rty::SortCtor::Adt(sort_def)
            }
        };
        let args = path.args.iter().map(|t| self.conv_sort(t)).try_collect()?;

        Ok(rty::Sort::app(ctor, args))
    }

    fn check_user_defined_sort_param_count(
        &mut self,
        path: &fhir::SortPath<'_>,
        def_id: FluxDefId,
    ) -> QueryResult {
        let expected_param_count = self.genv().sort_decl_param_count(def_id);
        if path.args.len() != expected_param_count {
            let err = errors::IncorrectGenericsOnUserDefinedOpaqueSort::new(
                path.segments.last().unwrap().span,
                def_id.name(),
                expected_param_count,
                path.args.len(),
            );
            Err(self.emit(err))?;
        }
        Ok(())
    }

    fn check_prim_sort_generics(
        &mut self,
        path: &fhir::SortPath<'_>,
        prim_sort: fhir::PrimSort,
    ) -> QueryResult {
        if path.args.len() != prim_sort.generics() {
            let err = errors::GenericsOnPrimitiveSort::new(
                path.segments.last().unwrap().span,
                prim_sort.name_str(),
                path.args.len(),
                prim_sort.generics(),
            );
            Err(self.emit(err))?;
        }
        Ok(())
    }
}

/// Conversion of types
impl<'genv, 'tcx: 'genv, P: ConvPhase<'genv, 'tcx>> ConvCtxt<P> {
    fn conv_fn_decl(
        &mut self,
        env: &mut Env,
        safety: Safety,
        abi: rustc_abi::ExternAbi,
        decl: &fhir::FnDecl,
        body_id: Option<BodyId>,
    ) -> QueryResult<rty::FnSig> {
        let mut requires = vec![];
        for req in decl.requires {
            requires.push(self.conv_requires(env, req)?);
        }

        let mut inputs = vec![];
        let params =
            if let Some(body_id) = body_id { self.tcx().hir_body(body_id).params } else { &[] };
        for (i, ty) in decl.inputs.iter().enumerate() {
            let name = if let Some(param) = params.get(i)
                && let hir::PatKind::Binding(_, _, ident, _) = param.pat.kind
            {
                Some(ident.name)
            } else {
                None
            };
            inputs.push(self.conv_ty(env, ty, name)?);
        }

        let output = self.conv_fn_output(env, &decl.output)?;

        Ok(rty::FnSig::new(safety, abi, requires.into(), inputs.into(), output, decl.lifted))
    }

    fn conv_requires(
        &mut self,
        env: &mut Env,
        requires: &fhir::Requires,
    ) -> QueryResult<rty::Expr> {
        if requires.params.is_empty() {
            self.conv_expr(env, &requires.pred)
        } else {
            env.push_layer(Layer::list(self.results(), 0, requires.params));
            let pred = self.conv_expr(env, &requires.pred)?;
            let sorts = env.pop_layer().into_bound_vars(self.genv())?;
            Ok(rty::Expr::forall(rty::Binder::bind_with_vars(pred, sorts)))
        }
    }

    fn conv_ensures(
        &mut self,
        env: &mut Env,
        ensures: &fhir::Ensures,
    ) -> QueryResult<rty::Ensures> {
        match ensures {
            fhir::Ensures::Type(loc, ty) => {
                Ok(rty::Ensures::Type(
                    self.conv_loc(env, *loc)?,
                    self.conv_ty(env, ty, loc.name())?,
                ))
            }
            fhir::Ensures::Pred(pred) => Ok(rty::Ensures::Pred(self.conv_expr(env, pred)?)),
        }
    }

    fn conv_fn_output(
        &mut self,
        env: &mut Env,
        output: &fhir::FnOutput,
    ) -> QueryResult<rty::Binder<rty::FnOutput>> {
        env.push_layer(Layer::list(self.results(), 0, output.params));

        let ret = self.conv_ty(env, &output.ret, None)?;

        let ensures: List<rty::Ensures> = output
            .ensures
            .iter()
            .map(|ens| self.conv_ensures(env, ens))
            .try_collect()?;
        let output = rty::FnOutput::new(ret, ensures);

        let vars = env.pop_layer().into_bound_vars(self.genv())?;
        Ok(rty::Binder::bind_with_vars(output, vars))
    }

    fn conv_generic_bounds(
        &mut self,
        env: &mut Env,
        bounded_ty_span: Span,
        bounded_ty: rty::Ty,
        bounds: fhir::GenericBounds,
    ) -> QueryResult<Vec<rty::Clause>> {
        let mut clauses = vec![];
        for bound in bounds {
            match bound {
                fhir::GenericBound::Trait(poly_trait_ref) => {
                    match poly_trait_ref.modifiers {
                        fhir::TraitBoundModifier::None => {
                            self.conv_poly_trait_ref(
                                env,
                                bounded_ty_span,
                                &bounded_ty,
                                poly_trait_ref,
                                &mut clauses,
                            )?;
                        }
                        fhir::TraitBoundModifier::Maybe => {
                            // Maybe bounds are only supported for `?Sized`. The effect of the maybe
                            // bound is to relax the default which is `Sized` to not have the `Sized`
                            // bound, so we just skip it here.
                        }
                    }
                }
                fhir::GenericBound::Outlives(lft) => {
                    let re = self.conv_lifetime(env, *lft, bounded_ty_span);
                    clauses.push(rty::Clause::new(
                        List::empty(),
                        rty::ClauseKind::TypeOutlives(rty::OutlivesPredicate(
                            bounded_ty.clone(),
                            re,
                        )),
                    ));
                }
            }
        }
        Ok(clauses)
    }

    /// Converts a `T: Trait<T0, ..., A0 = S0, ...>` bound
    fn conv_poly_trait_ref(
        &mut self,
        env: &mut Env,
        span: Span,
        bounded_ty: &rty::Ty,
        poly_trait_ref: &fhir::PolyTraitRef,
        clauses: &mut Vec<rty::Clause>,
    ) -> QueryResult {
        let generic_params = &poly_trait_ref.bound_generic_params;
        let layer =
            Layer::list(self.results(), generic_params.len() as u32, poly_trait_ref.refine_params);
        env.push_layer(layer);

        let trait_id = poly_trait_ref.trait_def_id();
        let generics = self.genv().generics_of(trait_id)?;
        let trait_segment = poly_trait_ref.trait_ref.last_segment();

        let self_param = generics.param_at(0, self.genv())?;
        let mut args = vec![
            self.try_to_ty_or_base(self_param.kind, span, bounded_ty)?
                .into(),
        ];
        self.conv_generic_args_into(env, trait_id, trait_segment, &mut args)?;

        let vars = env.top_layer().to_bound_vars(self.genv())?;
        let poly_trait_ref = rty::Binder::bind_with_vars(
            rty::TraitRef { def_id: trait_id, args: args.into() },
            vars,
        );

        clauses.push(
            poly_trait_ref
                .clone()
                .map(|trait_ref| {
                    rty::ClauseKind::Trait(rty::TraitPredicate { trait_ref: trait_ref.clone() })
                })
                .into(),
        );

        for cstr in trait_segment.constraints {
            self.conv_assoc_item_constraint(env, &poly_trait_ref, cstr, clauses)?;
        }

        env.pop_layer();

        Ok(())
    }

    fn conv_assoc_item_constraint(
        &mut self,
        env: &mut Env,
        poly_trait_ref: &rty::PolyTraitRef,
        constraint: &fhir::AssocItemConstraint,
        clauses: &mut Vec<rty::Clause>,
    ) -> QueryResult {
        let tcx = self.tcx();

        let candidate = self.probe_single_bound_for_assoc_item(
            || traits::supertraits(tcx, poly_trait_ref.to_rustc(tcx)),
            constraint.ident,
            AssocTag::Type,
        )?;
        let assoc_item_id = AssocTag::Type
            .trait_defines_item_named(self.genv(), candidate.def_id(), constraint.ident)?
            .unwrap()
            .def_id;

        let fhir::AssocItemConstraintKind::Equality { term } = &constraint.kind;
        let span = term.span;
        let term = self.conv_ty(env, term, None)?;
        let term = self.ty_to_subset_ty_ctor(span, &term)?;

        let clause = poly_trait_ref
            .clone()
            .map(|trait_ref| {
                // TODO: when we support generic associated types, we need to also attach the associated generics here
                let args = trait_ref.args;
                let refine_args = List::empty();
                let projection_ty = rty::AliasTy { def_id: assoc_item_id, args, refine_args };

                rty::ClauseKind::Projection(rty::ProjectionPredicate { projection_ty, term })
            })
            .into();

        clauses.push(clause);
        Ok(())
    }

    fn suffix_symbol<S: ToString>(sym: Symbol, suffix: S) -> Symbol {
        let str = format!("{}_{}", sym, suffix.to_string());
        Symbol::intern(&str)
    }

    fn conv_ty(
        &mut self,
        env: &mut Env,
        ty: &fhir::Ty,
        name: Option<Symbol>,
    ) -> QueryResult<rty::Ty> {
        match &ty.kind {
            fhir::TyKind::BaseTy(bty) => Ok(self.conv_bty(env, bty, name)?.to_ty()),
            fhir::TyKind::Indexed(bty, idx) => {
                let fhir_id = bty.fhir_id;
                let rty::TyOrCtor::Ctor(ty_ctor) = self.conv_bty(env, bty, None)? else {
                    return Err(self.emit(errors::RefinedUnrefinableType::new(bty.span)))?;
                };
                let idx = self.conv_expr(env, idx)?;
                self.0.insert_node_sort(fhir_id, ty_ctor.sort());
                Ok(ty_ctor.replace_bound_reft(&idx))
            }
            fhir::TyKind::Exists(params, ty) => {
                let layer = Layer::list(self.results(), 0, params);
                env.push_layer(layer);
                let ty = self.conv_ty(env, ty, name)?;
                let sorts = env.pop_layer().into_bound_vars(self.genv())?;
                if sorts.is_empty() {
                    Ok(ty.shift_out_escaping(1))
                } else {
                    Ok(rty::Ty::exists(rty::Binder::bind_with_vars(ty, sorts)))
                }
            }
            fhir::TyKind::StrgRef(lft, loc, ty) => {
                let re = self.conv_lifetime(env, *lft, ty.span);
                let name = loc.name();
                let loc = self.conv_loc(env, **loc)?;
                let ty = self.conv_ty(env, ty, name)?;
                Ok(rty::Ty::strg_ref(re, loc, ty))
            }
            fhir::TyKind::Ref(lft, fhir::MutTy { ty, mutbl }) => {
                let region = self.conv_lifetime(env, *lft, ty.span);
                Ok(rty::Ty::mk_ref(region, self.conv_ty(env, ty, name)?, *mutbl))
            }
            fhir::TyKind::BareFn(bare_fn) => {
                let mut env = Env::empty();
                env.push_layer(Layer::list(
                    self.results(),
                    bare_fn.generic_params.len() as u32,
                    &[],
                ));
                let fn_sig =
                    self.conv_fn_decl(&mut env, bare_fn.safety, bare_fn.abi, bare_fn.decl, None)?;
                let vars = bare_fn
                    .generic_params
                    .iter()
                    .map(|param| self.param_as_bound_var(param))
                    .try_collect()?;
                let poly_fn_sig = rty::Binder::bind_with_vars(fn_sig, vars);
                Ok(rty::BaseTy::FnPtr(poly_fn_sig).to_ty())
            }
            fhir::TyKind::Tuple(tys) => {
                let tys: List<rty::Ty> = tys
                    .iter()
                    .enumerate()
                    .map(|(i, ty)| {
                        self.conv_ty(env, ty, name.map(|sym| Self::suffix_symbol(sym, i)))
                    })
                    .try_collect()?;
                Ok(rty::Ty::tuple(tys))
            }
            fhir::TyKind::Array(ty, len) => {
                let name = name.map(|sym| Self::suffix_symbol(sym, "elem"));
                Ok(rty::Ty::array(self.conv_ty(env, ty, name)?, self.conv_const_arg(*len)))
            }
            fhir::TyKind::Never => Ok(rty::Ty::never()),
            fhir::TyKind::Constr(pred, ty) => {
                let pred = self.conv_expr(env, pred)?;
                Ok(rty::Ty::constr(pred, self.conv_ty(env, ty, name)?))
            }
            fhir::TyKind::RawPtr(ty, mutability) => {
                Ok(rty::Ty::indexed(
                    rty::BaseTy::RawPtr(self.conv_ty(env, ty, None)?, *mutability),
                    rty::Expr::unit(),
                ))
            }
            fhir::TyKind::OpaqueDef(opaque_ty) => self.conv_opaque_def(env, opaque_ty, ty.span),
            fhir::TyKind::TraitObject(trait_bounds, lft, syn) => {
                if matches!(syn, rustc_ast::TraitObjectSyntax::Dyn) {
                    self.conv_trait_object(env, trait_bounds, *lft, ty.span)
                } else {
                    span_bug!(ty.span, "dyn* traits not supported yet")
                }
            }
            fhir::TyKind::Infer => Ok(rty::Ty::infer(self.next_type_vid())),
            fhir::TyKind::Err(err) => Err(QueryErr::Emitted(*err)),
        }
    }

    /// Code adapted from <https://github.com/rust-lang/rust/blob/b5723af3457b9cd3795eeb97e9af2d34964854f2/compiler/rustc_hir_analysis/src/hir_ty_lowering/mod.rs#L2099>
    fn conv_opaque_def(
        &mut self,
        env: &mut Env,
        opaque_ty: &fhir::OpaqueTy,
        span: Span,
    ) -> QueryResult<rty::Ty> {
        let def_id = opaque_ty.def_id;

        if P::HAS_ELABORATED_INFORMATION {
            let lifetimes = self.tcx().opaque_captured_lifetimes(def_id.local_id());

            let generics = self.tcx().generics_of(opaque_ty.def_id);

            let offset = generics.parent_count;

            let args = rty::GenericArg::for_item(self.genv(), def_id.resolved_id(), |param, _| {
                if let Some(i) = (param.index as usize).checked_sub(offset) {
                    let (lifetime, _) = lifetimes[i];
                    rty::GenericArg::Lifetime(self.conv_resolved_lifetime(env, lifetime, span))
                } else {
                    rty::GenericArg::from_param_def(param)
                }
            })?;
            let reft_args = rty::RefineArgs::identity_for_item(self.genv(), def_id.resolved_id())?;
            let alias_ty = rty::AliasTy::new(def_id.resolved_id(), args, reft_args);
            Ok(rty::BaseTy::opaque(alias_ty).to_ty())
        } else {
            // During sortck we need to run conv on the opaque type to collect sorts for base types
            // in the opaque type's bounds. After sortck, we don't need to because opaque types are
            // converted as part of `genv.item_bounds`.
            self.conv_opaque_ty(opaque_ty)?;

            // `RefineArgs::identity_for_item` uses `genv.refinement_generics_of` which in turn
            // requires `genv.check_wf`, so we simply return all empty here to avoid the circularity
            let alias_ty = rty::AliasTy::new(def_id.resolved_id(), List::empty(), List::empty());
            Ok(rty::BaseTy::opaque(alias_ty).to_ty())
        }
    }

    fn conv_trait_object(
        &mut self,
        env: &mut Env,
        trait_bounds: &[fhir::PolyTraitRef],
        lifetime: fhir::Lifetime,
        span: Span,
    ) -> QueryResult<rty::Ty> {
        // We convert all the trait bounds into existential predicates. Some combinations won't yield
        // valid rust types (e.g., only one regular (non-auto) trait is allowed). We don't detect those
        // errors here, but that's fine because we should catch them when we check structural
        // compatibility with the unrefined rust type. We must be careful with producing predicates
        // in the same order that rustc does.

        let mut bounds = vec![];
        let dummy_self = rty::Ty::trait_object_dummy_self();
        for trait_bound in trait_bounds.iter().rev() {
            self.conv_poly_trait_ref(env, trait_bound.span, &dummy_self, trait_bound, &mut bounds)?;
        }

        // Separate trait bounds and projections bounds
        let mut trait_bounds = vec![];
        let mut projection_bounds = vec![];
        for pred in bounds {
            let bound_pred = pred.kind();
            let vars = bound_pred.vars().clone();
            match bound_pred.skip_binder() {
                rty::ClauseKind::Trait(trait_pred) => {
                    trait_bounds.push(rty::Binder::bind_with_vars(trait_pred.trait_ref, vars));
                }
                rty::ClauseKind::Projection(proj) => {
                    projection_bounds.push(rty::Binder::bind_with_vars(proj, vars));
                }
                rty::ClauseKind::RegionOutlives(_) => {}
                rty::ClauseKind::TypeOutlives(_) => {}
                rty::ClauseKind::ConstArgHasType(..) => {
                    bug!("did not expect {pred:?} clause in object bounds");
                }
            }
        }

        // Separate between regular from auto traits
        let (mut auto_traits, regular_traits): (Vec<_>, Vec<_>) = trait_bounds
            .into_iter()
            .partition(|trait_ref| self.tcx().trait_is_auto(trait_ref.def_id()));

        // De-duplicate auto traits preserving order
        {
            let mut duplicates = FxHashSet::default();
            auto_traits.retain(|trait_ref| duplicates.insert(trait_ref.def_id()));
        }

        let regular_trait_predicates = regular_traits.into_iter().map(|poly_trait_ref| {
            poly_trait_ref.map(|trait_ref| {
                // Remove dummy self
                let args = trait_ref.args.iter().skip(1).cloned().collect();
                rty::ExistentialPredicate::Trait(rty::ExistentialTraitRef {
                    def_id: trait_ref.def_id,
                    args,
                })
            })
        });

        let auto_trait_predicates = auto_traits.into_iter().map(|trait_def| {
            rty::Binder::dummy(rty::ExistentialPredicate::AutoTrait(trait_def.def_id()))
        });

        let existential_projections = projection_bounds.into_iter().map(|bound| {
            bound.map(|proj| {
                // Remove dummy self
                let args = proj.projection_ty.args.iter().skip(1).cloned().collect();
                rty::ExistentialPredicate::Projection(rty::ExistentialProjection {
                    def_id: proj.projection_ty.def_id,
                    args,
                    term: proj.term.clone(),
                })
            })
        });

        let existential_predicates = {
            let mut v = regular_trait_predicates
                .chain(existential_projections)
                .chain(auto_trait_predicates)
                .collect_vec();
            v.sort_by(|a, b| {
                a.as_ref()
                    .skip_binder()
                    .stable_cmp(self.tcx(), b.as_ref().skip_binder())
            });
            List::from_vec(v)
        };

        let region = self.conv_lifetime(env, lifetime, span);
        Ok(rty::Ty::dynamic(existential_predicates, region))
    }

    pub(crate) fn conv_bty(
        &mut self,
        env: &mut Env,
        bty: &fhir::BaseTy,
        name: Option<Symbol>,
    ) -> QueryResult<rty::TyOrCtor> {
        match &bty.kind {
            fhir::BaseTyKind::Path(fhir::QPath::Resolved(qself, path)) => {
                self.conv_qpath(env, *qself, path, name)
            }
            fhir::BaseTyKind::Path(fhir::QPath::TypeRelative(qself, segment)) => {
                let qself_res =
                    if let Some(path) = qself.as_path() { path.res } else { fhir::Res::Err };
                let alias_ty = self
                    .conv_type_relative_type_path(env, qself.span, qself_res, segment)?
                    .shift_in_escaping(1);
                let bty = rty::BaseTy::Alias(rty::AliasKind::Projection, alias_ty);
                let sort = bty.sort();
                let ty = rty::Ty::indexed(bty, rty::Expr::nu());
                Ok(rty::TyOrCtor::Ctor(rty::Binder::bind_with_sort(ty, sort)))
            }
            fhir::BaseTyKind::Slice(ty) => {
                let name = name.map(|sym| Self::suffix_symbol(sym, "elem"));
                let bty = rty::BaseTy::Slice(self.conv_ty(env, ty, name)?).shift_in_escaping(1);
                let sort = bty.sort();
                let ty = rty::Ty::indexed(bty, rty::Expr::nu());
                Ok(rty::TyOrCtor::Ctor(rty::Binder::bind_with_sort(ty, sort)))
            }
            fhir::BaseTyKind::Err(err) => Err(QueryErr::Emitted(*err)),
        }
    }

    fn conv_type_relative_path<Tag: AssocItemTag>(
        &mut self,
        tag: Tag,
        qself_span: Span,
        qself_res: fhir::Res,
        assoc_ident: Ident,
    ) -> QueryResult<(Tag::AssocItem<'tcx>, rty::TraitRef)> {
        let tcx = self.tcx();

        let bound = match qself_res {
            fhir::Res::SelfTyAlias { alias_to: impl_def_id, is_trait_impl: true } => {
                let Some(trait_ref) = tcx.impl_trait_ref(impl_def_id) else {
                    // A cycle error occurred most likely (comment copied from rustc)
                    span_bug!(qself_span, "expected cycle error");
                };

                self.probe_single_bound_for_assoc_item(
                    || {
                        traits::supertraits(
                            tcx,
                            ty::Binder::dummy(trait_ref.instantiate_identity()),
                        )
                    },
                    assoc_ident,
                    tag,
                )?
            }
            fhir::Res::Def(DefKind::TyParam, param_id)
            | fhir::Res::SelfTyParam { trait_: param_id } => {
                let predicates = type_param_predicates(tcx, param_id);
                self.probe_single_bound_for_assoc_item(
                    || {
                        tag.transitive_bounds_that_define_assoc_item(
                            self.genv(),
                            predicates.map(|pred| pred.map_bound(|t| t.trait_ref)),
                            assoc_ident,
                        )
                    },
                    assoc_ident,
                    tag,
                )?
            }
            _ => self.report_assoc_item_not_found(assoc_ident.span, tag)?,
        };

        let Some(trait_ref) = bound.no_bound_vars() else {
            // This is a programmer error and we should gracefully report it. It's triggered
            // by code like this
            // ```
            // trait Super<'a> { type Assoc; }
            // trait Child: for<'a> Super<'a> {}
            // fn foo<T: Child>(x: T::Assoc) {}
            // ```
            Err(self.emit(
                query_bug!("associated path with uninferred generic parameters")
                    .at(assoc_ident.span),
            ))?
        };

        let trait_ref = trait_ref
            .lower(tcx)
            .map_err(|err| QueryErr::unsupported(trait_ref.def_id, err.into_err()))?
            .refine(&self.refiner()?)?;

        let assoc_item = tag
            .trait_defines_item_named(self.genv(), trait_ref.def_id, assoc_ident)?
            .unwrap();

        Ok((assoc_item, trait_ref))
    }

    fn conv_type_relative_type_path(
        &mut self,
        env: &mut Env,
        qself_span: Span,
        qself_res: fhir::Res,
        assoc_segment: &fhir::PathSegment,
    ) -> QueryResult<rty::AliasTy> {
        let (assoc_item, trait_ref) = self.conv_type_relative_path(
            AssocTag::Type,
            qself_span,
            qself_res,
            assoc_segment.ident,
        )?;

        let assoc_id = assoc_item.def_id;
        let mut args = trait_ref.args.to_vec();
        self.conv_generic_args_into(env, assoc_id, assoc_segment, &mut args)?;

        let args = List::from_vec(args);
        let refine_args = List::empty();
        let alias_ty = rty::AliasTy { args, refine_args, def_id: assoc_id };
        Ok(alias_ty)
    }

    fn conv_type_relative_const_path(
        &mut self,
        fhir_expr: &fhir::Expr,
        qself: &rty::Ty,
        assoc: Ident,
    ) -> QueryResult<rty::Expr> {
        let tcx = self.genv().tcx();

        let mut candidates = vec![];
        if let Some(simplified_type) = qself.simplify_type() {
            candidates = tcx
                .incoherent_impls(simplified_type)
                .iter()
                .filter_map(|impl_id| {
                    tcx.associated_items(impl_id).find_by_ident_and_kind(
                        tcx,
                        assoc,
                        AssocTag::Const,
                        *impl_id,
                    )
                })
                .collect_vec();
        }
        let (expr, sort) = match &candidates[..] {
            [candidate] => self.conv_const(fhir_expr.span, candidate.def_id)?,
            [] => self.report_assoc_item_not_found(fhir_expr.span, AssocTag::Const)?,
            _ => self.report_ambiguous_assoc_item(fhir_expr.span, AssocTag::Const, assoc)?,
        };
        self.0.insert_node_sort(fhir_expr.fhir_id, sort);
        Ok(expr)
    }

    /// Return the generics of the containing owner item
    fn refiner(&self) -> QueryResult<Refiner<'genv, 'tcx>> {
        match self.owner() {
            FluxOwnerId::Rust(owner_id) => {
                let def_id = self.genv().maybe_extern_id(owner_id.def_id);
                Refiner::default_for_item(self.genv(), def_id.resolved_id())
            }
            FluxOwnerId::Flux(_) => Err(query_bug!("cannot refine types insicde flux item")),
        }
    }

    fn probe_single_bound_for_assoc_item<I, Tag: AssocItemTag>(
        &self,
        all_candidates: impl FnOnce() -> I,
        assoc_name: Ident,
        tag: Tag,
    ) -> QueryResult<ty::PolyTraitRef<'tcx>>
    where
        I: Iterator<Item = ty::PolyTraitRef<'tcx>>,
    {
        let mut matching_candidates = vec![];
        for candidate in all_candidates() {
            if tag
                .trait_defines_item_named(self.genv(), candidate.def_id(), assoc_name)?
                .is_some()
            {
                matching_candidates.push(candidate);
            }
        }

        let Some(bound) = matching_candidates.pop() else {
            self.report_assoc_item_not_found(assoc_name.span, tag)?;
        };

        if !matching_candidates.is_empty() {
            self.report_ambiguous_assoc_item(assoc_name.span, tag, assoc_name)?;
        }

        Ok(bound)
    }

    fn conv_lifetime(&mut self, env: &Env, lft: fhir::Lifetime, span: Span) -> rty::Region {
        let res = match lft {
            fhir::Lifetime::Hole(_) => return rty::Region::ReVar(self.next_region_vid()),
            fhir::Lifetime::Resolved(res) => res,
        };
        self.conv_resolved_lifetime(env, res, span)
    }

    fn conv_resolved_lifetime(&mut self, env: &Env, res: ResolvedArg, span: Span) -> rty::Region {
        let tcx = self.tcx();
        let lifetime_name = |def_id| tcx.item_name(def_id);
        match res {
            ResolvedArg::StaticLifetime => rty::ReStatic,
            ResolvedArg::EarlyBound(def_id) => {
                let index = self.genv().def_id_to_param_index(def_id.to_def_id());
                let name = lifetime_name(def_id.to_def_id());
                rty::ReEarlyParam(rty::EarlyParamRegion { index, name })
            }
            ResolvedArg::LateBound(_, index, def_id) => {
                let Some(depth) = env.depth().checked_sub(1) else {
                    span_bug!(span, "late-bound variable at depth 0")
                };
                let kind = rty::BoundRegionKind::Named(def_id.to_def_id());
                let var = BoundVar::from_u32(index);
                let bound_region = rty::BoundRegion { var, kind };
                rty::ReBound(rty::DebruijnIndex::from_usize(depth), bound_region)
            }
            ResolvedArg::Free(scope, id) => {
                let kind = rty::LateParamRegionKind::Named(id.to_def_id());
                rty::ReLateParam(rty::LateParamRegion { scope: scope.to_def_id(), kind })
            }
            ResolvedArg::Error(_) => bug!("lifetime resolved to an error"),
        }
    }

    fn conv_const_arg(&mut self, cst: fhir::ConstArg) -> rty::Const {
        match cst.kind {
            fhir::ConstArgKind::Lit(lit) => rty::Const::from_usize(self.tcx(), lit),
            fhir::ConstArgKind::Param(def_id) => {
                rty::Const {
                    kind: rty::ConstKind::Param(def_id_to_param_const(self.genv(), def_id)),
                }
            }
            fhir::ConstArgKind::Infer => {
                rty::Const {
                    kind: rty::ConstKind::Infer(ty::InferConst::Var(self.next_const_vid())),
                }
            }
        }
    }

    fn conv_qpath(
        &mut self,
        env: &mut Env,
        qself: Option<&fhir::Ty>,
        path: &fhir::Path,
        name: Option<Symbol>,
    ) -> QueryResult<rty::TyOrCtor> {
        let bty = match path.res {
            fhir::Res::PrimTy(prim_ty) => {
                self.check_prim_ty_generics(path, prim_ty)?;
                prim_ty_to_bty(prim_ty)
            }
            fhir::Res::Def(DefKind::Struct | DefKind::Enum | DefKind::Union, did) => {
                let adt_def = self.genv().adt_def(did)?;
                let args = self.conv_generic_args(env, did, path.last_segment())?;
                rty::BaseTy::adt(adt_def, args)
            }
            fhir::Res::Def(DefKind::TyParam, def_id) => {
                let owner_id = ty_param_owner(self.genv(), def_id);
                let param_ty = def_id_to_param_ty(self.genv(), def_id);
                self.check_ty_param_generics(path, param_ty)?;
                let param = self
                    .genv()
                    .generics_of(owner_id)?
                    .param_at(param_ty.index as usize, self.genv())?;
                match param.kind {
                    rty::GenericParamDefKind::Type { .. } => {
                        return Ok(rty::TyOrCtor::Ty(rty::Ty::param(param_ty)));
                    }
                    rty::GenericParamDefKind::Base { .. } => rty::BaseTy::Param(param_ty),
                    _ => return Err(query_bug!("unexpected param kind")),
                }
            }
            fhir::Res::SelfTyParam { trait_ } => {
                self.check_self_ty_generics(path)?;
                let param = &self.genv().generics_of(trait_)?.own_params[0];
                match param.kind {
                    rty::GenericParamDefKind::Type { .. } => {
                        return Ok(rty::TyOrCtor::Ty(rty::Ty::param(rty::SELF_PARAM_TY)));
                    }
                    rty::GenericParamDefKind::Base { .. } => rty::BaseTy::Param(rty::SELF_PARAM_TY),
                    _ => return Err(query_bug!("unexpected param kind")),
                }
            }
            fhir::Res::SelfTyAlias { alias_to, .. } => {
                self.check_self_ty_generics(path)?;
                if P::EXPAND_TYPE_ALIASES {
                    return Ok(self.genv().type_of(alias_to)?.instantiate_identity());
                } else {
                    rty::BaseTy::Alias(
                        rty::AliasKind::Free,
                        rty::AliasTy {
                            def_id: alias_to,
                            args: List::empty(),
                            refine_args: List::empty(),
                        },
                    )
                }
            }
            fhir::Res::Def(DefKind::AssocTy, assoc_id) => {
                let trait_id = self.tcx().trait_of_assoc(assoc_id).unwrap();

                let [.., trait_segment, assoc_segment] = path.segments else {
                    span_bug!(path.span, "expected at least two segments");
                };

                let Some(qself) = qself else {
                    self.report_ambiguous_assoc_item(
                        path.span,
                        AssocTag::Type,
                        assoc_segment.ident,
                    )?
                };

                let trait_generics = self.genv().generics_of(trait_id)?;
                let qself =
                    self.conv_ty_to_generic_arg(env, &trait_generics.own_params[0], qself)?;
                let mut args = vec![qself];
                self.conv_generic_args_into(env, trait_id, trait_segment, &mut args)?;
                self.conv_generic_args_into(env, assoc_id, assoc_segment, &mut args)?;
                let args = List::from_vec(args);

                let refine_args = List::empty();
                let alias_ty = rty::AliasTy { args, refine_args, def_id: assoc_id };
                rty::BaseTy::Alias(rty::AliasKind::Projection, alias_ty)
            }
            fhir::Res::Def(DefKind::TyAlias, def_id) => {
                self.check_refinement_generics(path, def_id)?;
                let args = self.conv_generic_args(env, def_id, path.last_segment())?;
                self.0.insert_path_args(path.fhir_id, args.clone());
                let refine_args = path
                    .refine
                    .iter()
                    .map(|expr| self.conv_expr(env, expr))
                    .try_collect_vec()?;

                if P::EXPAND_TYPE_ALIASES {
                    let tcx = self.tcx();
                    return Ok(self
                        .genv()
                        .type_of(def_id)?
                        .instantiate(tcx, &args, &refine_args));
                } else {
                    rty::BaseTy::Alias(
                        rty::AliasKind::Free,
                        rty::AliasTy { def_id, args, refine_args: List::from(refine_args) },
                    )
                }
            }
            fhir::Res::Def(DefKind::ForeignTy, def_id) => {
                self.check_foreign_ty_generics(path)?;
                rty::BaseTy::Foreign(def_id)
            }
            fhir::Res::Def(kind, def_id) => self.report_expected_type(path.span, kind, def_id)?,
            fhir::Res::Param(..) | fhir::Res::GlobalFunc(..) | fhir::Res::Err => {
                span_bug!(path.span, "unexpected resolution in conv_ty_ctor: {:?}", path.res)
            }
        };
        let sort = bty.sort();
        let bty = bty.shift_in_escaping(1);
        let kind = match name {
            Some(name) => BoundReftKind::Named(name),
            None => BoundReftKind::Anon,
        };
        let var = rty::BoundVariableKind::Refine(sort, rty::InferMode::EVar, kind);
        let ctor = rty::Binder::bind_with_vars(
            rty::Ty::indexed(bty, rty::Expr::nu()),
            List::singleton(var),
        );
        Ok(rty::TyOrCtor::Ctor(ctor))
    }

    fn param_as_bound_var(
        &mut self,
        param: &fhir::GenericParam,
    ) -> QueryResult<rty::BoundVariableKind> {
        let def_id = param.def_id.resolved_id();
        match param.kind {
            fhir::GenericParamKind::Lifetime => {
                Ok(rty::BoundVariableKind::Region(rty::BoundRegionKind::Named(def_id)))
            }
            fhir::GenericParamKind::Const { .. } | fhir::GenericParamKind::Type { .. } => {
                Err(query_bug!(def_id, "unsupported param kind `{:?}`", param.kind))
            }
        }
    }

    fn conv_generic_args(
        &mut self,
        env: &mut Env,
        def_id: DefId,
        segment: &fhir::PathSegment,
    ) -> QueryResult<List<rty::GenericArg>> {
        let mut into = vec![];
        self.conv_generic_args_into(env, def_id, segment, &mut into)?;
        Ok(List::from(into))
    }

    fn conv_generic_args_into(
        &mut self,
        env: &mut Env,
        def_id: DefId,
        segment: &fhir::PathSegment,
        into: &mut Vec<rty::GenericArg>,
    ) -> QueryResult {
        let generics = self.genv().generics_of(def_id)?;

        self.check_generic_arg_count(&generics, def_id, segment)?;

        let len = into.len();
        for (idx, arg) in segment.args.iter().enumerate() {
            let param = generics.param_at(idx + len, self.genv())?;
            match arg {
                fhir::GenericArg::Lifetime(lft) => {
                    into.push(rty::GenericArg::Lifetime(self.conv_lifetime(
                        env,
                        *lft,
                        segment.ident.span,
                    )));
                }
                fhir::GenericArg::Type(ty) => {
                    into.push(self.conv_ty_to_generic_arg(env, &param, ty)?);
                }
                fhir::GenericArg::Const(cst) => {
                    into.push(rty::GenericArg::Const(self.conv_const_arg(*cst)));
                }
                fhir::GenericArg::Infer => {
                    into.push(self.conv_generic_arg_hole(env, param, segment.ident.span)?);
                }
            }
        }
        self.fill_generic_args_defaults(def_id, into)
    }

    fn conv_generic_arg_hole(
        &mut self,
        env: &mut Env,
        param: rty::GenericParamDef,
        span: Span,
    ) -> QueryResult<rty::GenericArg> {
        match param.kind {
            rty::GenericParamDefKind::Type { .. } | rty::GenericParamDefKind::Base { .. } => {
                let ty = fhir::Ty { kind: fhir::TyKind::Infer, span };
                Ok(self.conv_ty_to_generic_arg(env, &param, &ty)?)
            }
            rty::GenericParamDefKind::Const { .. } => {
                let cst = fhir::ConstArg { kind: fhir::ConstArgKind::Infer, span };
                Ok(rty::GenericArg::Const(self.conv_const_arg(cst)))
            }
            rty::GenericParamDefKind::Lifetime => {
                let re = rty::Region::ReVar(self.next_region_vid());
                Ok(rty::GenericArg::Lifetime(re))
            }
        }
    }

    fn check_generic_arg_count(
        &mut self,
        generics: &rty::Generics,
        def_id: DefId,
        segment: &fhir::PathSegment,
    ) -> QueryResult {
        let found = segment.args.len();
        let mut param_count = generics.own_params.len();

        // The self parameter is not provided explicitly in the path so we skip it
        if let DefKind::Trait = self.genv().def_kind(def_id) {
            param_count -= 1;
        }

        let min = param_count - generics.own_default_count();
        let max = param_count;
        if min == max && found != min {
            Err(self.emit(errors::GenericArgCountMismatch::new(
                self.genv(),
                def_id,
                segment,
                min,
            )))?;
        }
        if found < min {
            Err(self.emit(errors::TooFewGenericArgs::new(self.genv(), def_id, segment, min)))?;
        }
        if found > max {
            Err(self.emit(errors::TooManyGenericArgs::new(self.genv(), def_id, segment, min)))?;
        }
        Ok(())
    }

    fn fill_generic_args_defaults(
        &mut self,
        def_id: DefId,
        into: &mut Vec<rty::GenericArg>,
    ) -> QueryResult {
        let generics = self.genv().generics_of(def_id)?;
        for param in generics.own_params.iter().skip(into.len()) {
            debug_assert!(matches!(
                param.kind,
                rty::GenericParamDefKind::Type { has_default: true }
                    | rty::GenericParamDefKind::Base { has_default: true }
            ));
            let span = self.tcx().def_span(param.def_id);
            // FIXME(nilehmann) we already know whether this is a type or a constructor so we could
            // directly check if the constructor returns a subset type.
            let ty = self
                .genv()
                .type_of(param.def_id)?
                .instantiate(self.tcx(), into, &[])
                .to_ty();
            into.push(self.try_to_ty_or_base(param.kind, span, &ty)?.into());
        }
        Ok(())
    }

    fn conv_ty_to_generic_arg(
        &mut self,
        env: &mut Env,
        param: &rty::GenericParamDef,
        ty: &fhir::Ty,
    ) -> QueryResult<rty::GenericArg> {
        let rty_ty = self.conv_ty(env, ty, None)?;
        Ok(self.try_to_ty_or_base(param.kind, ty.span, &rty_ty)?.into())
    }

    fn try_to_ty_or_base(
        &mut self,
        kind: rty::GenericParamDefKind,
        span: Span,
        ty: &rty::Ty,
    ) -> QueryResult<rty::TyOrBase> {
        match kind {
            rty::GenericParamDefKind::Type { .. } => Ok(rty::TyOrBase::Ty(ty.clone())),
            rty::GenericParamDefKind::Base { .. } => {
                Ok(rty::TyOrBase::Base(self.ty_to_subset_ty_ctor(span, ty)?))
            }
            _ => span_bug!(span, "unexpected param kind `{kind:?}`"),
        }
    }

    fn ty_to_subset_ty_ctor(&mut self, span: Span, ty: &rty::Ty) -> QueryResult<rty::SubsetTyCtor> {
        let ctor = if let rty::TyKind::Infer(vid) = ty.kind() {
            // do not generate sort holes for dummy self types
            let sort_vid =
                if vid.as_u32() == 0 { rty::SortVid::from_u32(0) } else { self.next_sort_vid() };
            rty::SubsetTyCtor::bind_with_sort(
                rty::SubsetTy::trivial(rty::BaseTy::Infer(*vid), rty::Expr::nu()),
                rty::Sort::Infer(sort_vid),
            )
        } else {
            ty.shallow_canonicalize()
                .as_ty_or_base()
                .as_base()
                .ok_or_else(|| self.emit(errors::InvalidBaseInstance::new(span)))?
        };
        Ok(ctor)
    }

    #[track_caller]
    fn emit(&self, err: impl Diagnostic<'genv>) -> ErrorGuaranteed {
        self.genv().sess().emit_err(err)
    }

    fn report_assoc_item_not_found<Tag: AssocItemTag>(
        &self,
        span: Span,
        assoc_tag: Tag,
    ) -> Result<!, ErrorGuaranteed> {
        Err(self.emit(errors::AssocItemNotFound { span, tag: assoc_tag.descr() }))?
    }

    fn report_ambiguous_assoc_item<Tag: AssocItemTag>(
        &self,
        span: Span,
        assoc_tag: Tag,
        assoc_name: Ident,
    ) -> Result<!, ErrorGuaranteed> {
        Err(self.emit(errors::AmbiguousAssocItem {
            span,
            name: assoc_name,
            tag: assoc_tag.descr(),
        }))?
    }

    #[track_caller]
    fn report_expected_type(
        &self,
        span: Span,
        kind: DefKind,
        def_id: DefId,
    ) -> Result<!, ErrorGuaranteed> {
        Err(self.emit(errors::ExpectedType {
            span,
            def_descr: self.tcx().def_kind_descr(kind, def_id),
            name: self.tcx().def_path_str(def_id),
        }))?
    }
}

/// Check generic params for types
impl<'genv, 'tcx: 'genv, P: ConvPhase<'genv, 'tcx>> ConvCtxt<P> {
    fn check_refinement_generics(&mut self, path: &fhir::Path, def_id: DefId) -> QueryResult {
        let generics = self.genv().refinement_generics_of(def_id)?;
        if generics.count() != path.refine.len() {
            let err = errors::RefineArgMismatch {
                span: path.span,
                expected: generics.count(),
                found: path.refine.len(),
                kind: self.tcx().def_descr(def_id),
            };
            Err(self.emit(err))?;
        }
        Ok(())
    }

    fn check_prim_ty_generics(
        &mut self,
        path: &fhir::Path<'_>,
        prim_ty: rustc_hir::PrimTy,
    ) -> QueryResult {
        if !path.last_segment().args.is_empty() {
            let err = errors::GenericsOnPrimTy { span: path.span, name: prim_ty.name_str() };
            Err(self.emit(err))?;
        }
        Ok(())
    }

    fn check_ty_param_generics(
        &mut self,
        path: &fhir::Path<'_>,
        param_ty: rty::ParamTy,
    ) -> QueryResult {
        if !path.last_segment().args.is_empty() {
            let err = errors::GenericsOnTyParam { span: path.span, name: param_ty.name };
            Err(self.emit(err))?;
        }
        Ok(())
    }

    fn check_self_ty_generics(&mut self, path: &fhir::Path<'_>) -> QueryResult {
        if !path.last_segment().args.is_empty() {
            let err = errors::GenericsOnSelfTy { span: path.span };
            Err(self.emit(err))?;
        }
        Ok(())
    }

    fn check_foreign_ty_generics(&mut self, path: &fhir::Path<'_>) -> QueryResult {
        if !path.last_segment().args.is_empty() {
            let err = errors::GenericsOnForeignTy { span: path.span };
            Err(self.emit(err))?;
        }
        Ok(())
    }
}

fn prim_ty_to_bty(prim_ty: rustc_hir::PrimTy) -> rty::BaseTy {
    match prim_ty {
        rustc_hir::PrimTy::Int(int_ty) => rty::BaseTy::Int(int_ty),
        rustc_hir::PrimTy::Uint(uint_ty) => rty::BaseTy::Uint(uint_ty),
        rustc_hir::PrimTy::Float(float_ty) => rty::BaseTy::Float(float_ty),
        rustc_hir::PrimTy::Str => rty::BaseTy::Str,
        rustc_hir::PrimTy::Bool => rty::BaseTy::Bool,
        rustc_hir::PrimTy::Char => rty::BaseTy::Char,
    }
}

/// Conversion of expressions
impl<'genv, 'tcx: 'genv, P: ConvPhase<'genv, 'tcx>> ConvCtxt<P> {
    fn conv_lit(&self, lit: fhir::Lit, fhir_id: FhirId, span: Span) -> QueryResult<rty::Constant> {
        match lit {
            fhir::Lit::Int(n, kind) => {
                match kind {
                    Some(fhir::NumLitKind::Int) => Ok(rty::Constant::from(n)),
                    Some(fhir::NumLitKind::Real) => Ok(rty::Constant::Real(rty::Real(n))),
                    None => {
                        let sort = self.results().node_sort(fhir_id);
                        if let rty::Sort::BitVec(bvsize) = sort {
                            if let rty::BvSize::Fixed(size) = bvsize
                                && (n == 0 || n.ilog2() < size)
                            {
                                Ok(rty::Constant::BitVec(n, size))
                            } else {
                                Err(self.emit(errors::InvalidBitVectorConstant::new(span, sort)))?
                            }
                        } else {
                            Ok(rty::Constant::from(n))
                        }
                    }
                }
            }
            fhir::Lit::Bool(b) => Ok(rty::Constant::from(b)),
            fhir::Lit::Str(s) => Ok(rty::Constant::from(s)),
            fhir::Lit::Char(c) => Ok(rty::Constant::from(c)),
        }
    }

    fn conv_expr(&mut self, env: &mut Env, expr: &fhir::Expr) -> QueryResult<rty::Expr> {
        let fhir_id = expr.fhir_id;
        let espan = ESpan::new(expr.span);
        let expr = match expr.kind {
            fhir::ExprKind::Var(QPathExpr::Resolved(path, _)) => self.conv_path_expr(env, path)?,
            fhir::ExprKind::Var(QPathExpr::TypeRelative(qself, assoc)) => {
                let qself = self.conv_ty(env, qself, None)?;
                self.conv_type_relative_const_path(expr, &qself, assoc)?
            }
            fhir::ExprKind::Literal(lit) => {
                rty::Expr::constant(self.conv_lit(lit, fhir_id, expr.span)?).at(espan)
            }
            fhir::ExprKind::BinaryOp(op, e1, e2) => {
                rty::Expr::binary_op(
                    self.conv_bin_op(op, expr.fhir_id),
                    self.conv_expr(env, e1)?,
                    self.conv_expr(env, e2)?,
                )
                .at(espan)
            }
            fhir::ExprKind::UnaryOp(op, e) => {
                rty::Expr::unary_op(conv_un_op(op), self.conv_expr(env, e)?).at(espan)
            }

            fhir::ExprKind::PrimApp(op, e1, e2) => {
                rty::Expr::prim_val(
                    self.conv_primop_val(op),
                    self.conv_expr(env, e1)?,
                    self.conv_expr(env, e2)?,
                )
                .at(espan)
            }
            fhir::ExprKind::App(func, args) => {
                let sort_args = self.results().node_sort_args(fhir_id);
                rty::Expr::app(self.conv_func(env, &func)?, sort_args, self.conv_exprs(env, args)?)
                    .at(espan)
            }
            fhir::ExprKind::Alias(alias, args) => {
                let args = args
                    .iter()
                    .map(|arg| self.conv_expr(env, arg))
                    .try_collect()?;
                let alias = self.conv_alias_reft(env, expr.fhir_id, &alias)?;
                rty::Expr::alias(alias, args).at(espan)
            }
            fhir::ExprKind::IfThenElse(p, e1, e2) => {
                rty::Expr::ite(
                    self.conv_expr(env, p)?,
                    self.conv_expr(env, e1)?,
                    self.conv_expr(env, e2)?,
                )
                .at(espan)
            }
            fhir::ExprKind::Dot(base, _) => {
                let proj = self.results().field_proj(fhir_id);
                rty::Expr::field_proj(self.conv_expr(env, base)?, proj)
            }
            fhir::ExprKind::Abs(params, body) => {
                env.push_layer(Layer::list(self.results(), 0, params));
                let pred = self.conv_expr(env, body)?;
                let vars = env.pop_layer().into_bound_vars(self.genv())?;
                let output = self.results().node_sort(body.fhir_id);
                let lam = rty::Lambda::bind_with_vars(pred, vars, output);
                rty::Expr::abs(lam)
            }
            fhir::ExprKind::Block(decls, body) => {
                for decl in decls {
                    env.push_layer(Layer::list(self.results(), 0, &[decl.param]));
                }
                let mut body = self.conv_expr(env, body)?;
                for decl in decls.iter().rev() {
                    let vars = env.pop_layer().into_bound_vars(self.genv())?;
                    let init = self.conv_expr(env, &decl.init)?;
                    body = rty::Expr::let_(init, rty::Binder::bind_with_vars(body, vars));
                }
                body
            }
            fhir::ExprKind::BoundedQuant(kind, param, rng, body) => {
                env.push_layer(Layer::list(self.results(), 0, &[param]));
                let pred = self.conv_expr(env, body)?;
                let vars = env.pop_layer().into_bound_vars(self.genv())?;
                let body = rty::Binder::bind_with_vars(pred, vars);
                rty::Expr::bounded_quant(kind, rng, body)
            }
            fhir::ExprKind::Record(flds) => {
                let def_id = self.results().record_ctor(expr.fhir_id);
                let flds = flds
                    .iter()
                    .map(|expr| self.conv_expr(env, expr))
                    .try_collect()?;
                rty::Expr::ctor_struct(def_id, flds)
            }
            fhir::ExprKind::SetLiteral(elems) => {
                let elems = elems
                    .iter()
                    .map(|expr| self.conv_expr(env, expr))
                    .try_collect()?;
                rty::Expr::set(elems)
            }
            fhir::ExprKind::Constructor(path, exprs, spread) => {
                let def_id = if let Some(path) = path {
                    match path.res {
                        fhir::Res::Def(DefKind::Enum | DefKind::Struct, def_id) => def_id,
                        _ => span_bug!(path.span, "unexpected path in constructor"),
                    }
                } else {
                    self.results().record_ctor(expr.fhir_id)
                };
                let assns = self.conv_constructor_exprs(def_id, env, exprs, &spread)?;
                rty::Expr::ctor_struct(def_id, assns)
            }
            fhir::ExprKind::Err(err) => Err(QueryErr::Emitted(err))?,
        };
        Ok(self.add_coercions(expr, fhir_id))
    }

    fn conv_loc(&mut self, env: &mut Env, loc: fhir::PathExpr) -> QueryResult<rty::Path> {
        Ok(self
            .conv_path_expr(env, loc)?
            .to_path()
            .unwrap_or_else(|| span_bug!(loc.span, "expected path, found `{loc:?}`")))
    }

    fn conv_path_expr(&mut self, env: &mut Env, path: fhir::PathExpr) -> QueryResult<rty::Expr> {
        let genv = self.genv();
        let tcx = self.genv().tcx();
        let espan = ESpan::new(path.span);
        let (expr, sort) = match path.res {
            fhir::Res::Param(_, id) => (env.lookup(&path).to_expr(), self.results().param_sort(id)),
            fhir::Res::Def(DefKind::Const, def_id) => {
                self.hyperlink(path.span, tcx.def_ident_span(def_id));
                let (expr, sort) = self.conv_const(path.span, def_id)?;
                (expr.at(espan), sort)
            }
            fhir::Res::Def(DefKind::Ctor(..), ctor_id) => {
                let Some(sort) = genv.sort_of_def_id(ctor_id).emit(&genv)? else {
                    span_bug!(path.span, "unexpected variant {ctor_id:?}")
                };

                let variant_id = self.tcx().parent(ctor_id);
                let enum_id = self.tcx().parent(variant_id);
                self.hyperlink(path.span, tcx.def_ident_span(variant_id));
                let idx = variant_idx(self.tcx(), variant_id);
                (rty::Expr::ctor_enum(enum_id, idx), sort)
            }
            fhir::Res::Def(DefKind::ConstParam, def_id) => {
                self.hyperlink(path.span, tcx.def_ident_span(def_id));
                // FIXME(nilehmann) generalize this to other sorts
                let sort = rty::Sort::Int;
                (rty::Expr::const_generic(def_id_to_param_const(genv, def_id)).at(espan), sort)
            }
            _ => {
                Err(self.emit(errors::InvalidRes { span: path.span, res_descr: path.res.descr() }))?
            }
        };
        self.0.insert_node_sort(path.fhir_id, sort);
        Ok(expr)
    }

    fn conv_const(&self, span: Span, def_id: DefId) -> QueryResult<(rty::Expr, rty::Sort)> {
        match self.genv().constant_info(def_id)? {
            rty::ConstantInfo::Uninterpreted => {
                Err(self.emit(errors::ConstantAnnotationNeeded::new(span)))?
            }
            rty::ConstantInfo::Interpreted(_, sort) => {
                Ok((rty::Expr::const_def_id(def_id).at(ESpan::new(span)), sort))
            }
        }
    }

    fn conv_constructor_exprs(
        &mut self,
        struct_def_id: DefId,
        env: &mut Env,
        exprs: &[fhir::FieldExpr],
        spread: &Option<&fhir::Spread>,
    ) -> QueryResult<List<rty::Expr>> {
        let spread = spread
            .map(|spread| self.conv_expr(env, &spread.expr))
            .transpose()?;
        let mut field_exprs_by_name: FxHashMap<Symbol, rty::Expr> = exprs
            .iter()
            .map(|field_expr| -> QueryResult<_> {
                Ok((field_expr.ident.name, self.conv_expr(env, &field_expr.expr)?))
            })
            .try_collect()?;

        if !P::HAS_ELABORATED_INFORMATION {
            return Ok(List::default());
        };

        let adt_def = self.genv().adt_sort_def_of(struct_def_id)?;
        let struct_variant = adt_def.struct_variant();
        let mut assns = Vec::new();
        for (idx, field_name) in struct_variant.field_names().iter().enumerate() {
            if let Some(expr) = field_exprs_by_name.remove(field_name) {
                assns.push(expr);
            } else if let Some(spread) = &spread {
                let proj = rty::FieldProj::Adt { def_id: struct_def_id, field: idx as u32 };
                assns.push(rty::Expr::field_proj(spread, proj));
            }
        }
        Ok(List::from_vec(assns))
    }

    fn conv_exprs(&mut self, env: &mut Env, exprs: &[fhir::Expr]) -> QueryResult<List<rty::Expr>> {
        exprs.iter().map(|e| self.conv_expr(env, e)).collect()
    }

    fn conv_primop_val(&self, op: fhir::BinOp) -> rty::BinOp {
        match op {
            fhir::BinOp::BitAnd => rty::BinOp::BitAnd(rty::Sort::Int),
            fhir::BinOp::BitOr => rty::BinOp::BitOr(rty::Sort::Int),
            fhir::BinOp::BitXor => rty::BinOp::BitXor(rty::Sort::Int),
            fhir::BinOp::BitShl => rty::BinOp::BitShl(rty::Sort::Int),
            fhir::BinOp::BitShr => rty::BinOp::BitShr(rty::Sort::Int),
            _ => bug!("unsupported primop {op:?}"),
        }
    }

    fn conv_bin_op(&self, op: fhir::BinOp, fhir_id: FhirId) -> rty::BinOp {
        match op {
            fhir::BinOp::Iff => rty::BinOp::Iff,
            fhir::BinOp::Imp => rty::BinOp::Imp,
            fhir::BinOp::Or => rty::BinOp::Or,
            fhir::BinOp::And => rty::BinOp::And,
            fhir::BinOp::Eq => rty::BinOp::Eq,
            fhir::BinOp::Ne => rty::BinOp::Ne,
            fhir::BinOp::Gt => rty::BinOp::Gt(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::Ge => rty::BinOp::Ge(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::Lt => rty::BinOp::Lt(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::Le => rty::BinOp::Le(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::Add => rty::BinOp::Add(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::Sub => rty::BinOp::Sub(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::Mul => rty::BinOp::Mul(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::Mod => rty::BinOp::Mod(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::Div => rty::BinOp::Div(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::BitAnd => rty::BinOp::BitAnd(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::BitOr => rty::BinOp::BitOr(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::BitXor => rty::BinOp::BitXor(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::BitShl => rty::BinOp::BitShl(self.results().bin_op_sort(fhir_id)),
            fhir::BinOp::BitShr => rty::BinOp::BitShr(self.results().bin_op_sort(fhir_id)),
        }
    }

    fn add_coercions(&self, mut expr: rty::Expr, fhir_id: FhirId) -> rty::Expr {
        let span = expr.span();
        for coercion in self.results().coercions_for(fhir_id) {
            expr = match *coercion {
                rty::Coercion::Inject(def_id) => {
                    rty::Expr::ctor_struct(def_id, List::singleton(expr)).at_opt(span)
                }
                rty::Coercion::Project(def_id) => {
                    rty::Expr::field_proj(expr, rty::FieldProj::Adt { def_id, field: 0 })
                        .at_opt(span)
                }
            };
        }
        expr
    }

    fn hyperlink(&self, span: Span, dst_span: Option<Span>) {
        if P::HAS_ELABORATED_INFORMATION
            && let Some(dst_span) = dst_span
        {
            dbg::hyperlink!(self.genv().tcx(), span, dst_span);
        }
    }

    fn conv_func(&mut self, env: &Env, func: &fhir::PathExpr) -> QueryResult<rty::Expr> {
        let genv = self.genv();
        let span = func.span;
        let (expr, sort) = match func.res {
            fhir::Res::Param(_, id) => {
                let sort = self.results().param_sort(id);
                (env.lookup(func).to_expr(), sort)
            }
            fhir::Res::GlobalFunc(fhir::SpecFuncKind::Def(did)) => {
                self.hyperlink(span, Some(genv.func_span(did)));
                let sort = rty::Sort::Func(genv.func_sort(did));
                (rty::Expr::global_func(rty::SpecFuncKind::Def(did)), sort)
            }
            fhir::Res::GlobalFunc(fhir::SpecFuncKind::Uif(did)) => {
                self.hyperlink(span, Some(genv.func_span(did)));
                let sort = rty::Sort::Func(genv.func_sort(did));
                (rty::Expr::global_func(rty::SpecFuncKind::Uif(did)), sort)
            }
            fhir::Res::GlobalFunc(fhir::SpecFuncKind::Thy(itf)) => {
                let sort = THEORY_FUNCS.get(&itf).unwrap().sort.clone();
                (rty::Expr::global_func(rty::SpecFuncKind::Thy(itf)), rty::Sort::Func(sort))
            }
            fhir::Res::GlobalFunc(fhir::SpecFuncKind::Cast) => {
                let fsort = rty::PolyFuncSort::new(
                    List::from_arr([rty::SortParamKind::Sort, rty::SortParamKind::Sort]),
                    rty::FuncSort::new(
                        vec![rty::Sort::Var(rty::ParamSort::from(0_usize))],
                        rty::Sort::Var(rty::ParamSort::from(1_usize)),
                    ),
                );
                (rty::Expr::internal_func(InternalFuncKind::Cast), rty::Sort::Func(fsort))
            }
            _ => {
                return Err(
                    self.emit(errors::InvalidRes { span: func.span, res_descr: func.res.descr() })
                )?;
            }
        };
        self.0.insert_node_sort(func.fhir_id, sort);
        Ok(self.add_coercions(expr, func.fhir_id))
    }

    fn conv_alias_reft(
        &mut self,
        env: &mut Env,
        fhir_id: FhirId,
        alias: &fhir::AliasReft,
    ) -> QueryResult<rty::AliasReft> {
        let alias_reft = match alias {
            fhir::AliasReft::Qualified { qself, trait_, name } => {
                let fhir::Res::Def(DefKind::Trait, trait_id) = trait_.res else {
                    span_bug!(trait_.span, "expected trait")
                };
                let trait_segment = trait_.last_segment();

                let generics = self.genv().generics_of(trait_id)?;
                let self_ty =
                    self.conv_ty_to_generic_arg(env, &generics.param_at(0, self.genv())?, qself)?;
                let mut generic_args = vec![self_ty];
                self.conv_generic_args_into(env, trait_id, trait_segment, &mut generic_args)?;

                let Some(assoc_reft) = self.genv().assoc_refinements_of(trait_id)?.find(name.name)
                else {
                    return Err(self.emit(errors::InvalidAssocReft::new(
                        trait_.span,
                        name.name,
                        format!("{:?}", trait_),
                    )))?;
                };

                let assoc_id = assoc_reft.def_id;

                dbg::hyperlink!(self.genv().tcx(), name.span, assoc_reft.span);

                rty::AliasReft { assoc_id, args: List::from_vec(generic_args) }
            }
            fhir::AliasReft::TypeRelative { qself, name } => {
                let qself_res =
                    if let Some(path) = qself.as_path() { path.res } else { fhir::Res::Err };
                let (assoc_reft, trait_ref) =
                    self.conv_type_relative_path(AssocReftTag, qself.span, qself_res, *name)?;
                rty::AliasReft { assoc_id: assoc_reft.def_id, args: trait_ref.args }
            }
        };
        let fsort = alias_reft.fsort(self.genv())?;
        self.0.insert_alias_reft_sort(fhir_id, fsort);
        Ok(alias_reft)
    }

    pub(crate) fn conv_invariants(
        &mut self,
        adt_id: MaybeExternId,
        params: &[fhir::RefineParam],
        invariants: &[fhir::Expr],
    ) -> QueryResult<Vec<rty::Invariant>> {
        let mut env = Env::new(&[]);
        env.push_layer(Layer::coalesce(self.results(), adt_id.resolved_id(), params));
        invariants
            .iter()
            .map(|invariant| self.conv_invariant(&mut env, invariant))
            .collect()
    }

    fn conv_invariant(
        &mut self,
        env: &mut Env,
        invariant: &fhir::Expr,
    ) -> QueryResult<rty::Invariant> {
        Ok(rty::Invariant::new(rty::Binder::bind_with_vars(
            self.conv_expr(env, invariant)?,
            env.top_layer().to_bound_vars(self.genv())?,
        )))
    }
}

impl Env {
    fn new(early_params: &[fhir::RefineParam]) -> Self {
        let early_params = early_params
            .iter()
            .map(|param| (param.id, param.name))
            .collect();
        Self { layers: vec![], early_params }
    }

    pub(crate) fn empty() -> Self {
        Self { layers: vec![], early_params: Default::default() }
    }

    fn depth(&self) -> usize {
        self.layers.len()
    }

    fn push_layer(&mut self, layer: Layer) {
        self.layers.push(layer);
    }

    fn pop_layer(&mut self) -> Layer {
        self.layers.pop().expect("bottom of layer stack")
    }

    fn top_layer(&self) -> &Layer {
        self.layers.last().expect("bottom of layer stack")
    }

    fn lookup(&self, var: &fhir::PathExpr) -> LookupResult<'_> {
        let (_, id) = var.res.expect_param();
        for (i, layer) in self.layers.iter().rev().enumerate() {
            if let Some((idx, entry)) = layer.get(id) {
                let debruijn = DebruijnIndex::from_usize(i);
                let kind = LookupResultKind::Bound {
                    debruijn,
                    entry,
                    index: idx as u32,
                    kind: layer.kind,
                };
                return LookupResult { var_span: var.span, kind };
            }
        }
        if let Some((idx, _, name)) = self.early_params.get_full(&id) {
            LookupResult {
                var_span: var.span,
                kind: LookupResultKind::EarlyParam { index: idx as u32, name: *name },
            }
        } else {
            span_bug!(var.span, "no entry found for key: `{:?}`", id);
        }
    }

    fn to_early_param_args(&self) -> List<rty::Expr> {
        self.early_params
            .iter()
            .enumerate()
            .map(|(idx, (_, name))| rty::Expr::early_param(idx as u32, *name))
            .collect()
    }
}

impl Layer {
    fn new<R: WfckResultsProvider>(
        results: &R,
        params: &[fhir::RefineParam],
        kind: LayerKind,
    ) -> Self {
        let map = params
            .iter()
            .map(|param| {
                let sort = results.param_sort(param.id);
                let infer_mode = rty::InferMode::from_param_kind(param.kind);
                let entry = ParamEntry::new(sort, infer_mode, param.name);
                (param.id, entry)
            })
            .collect();
        Self { map, kind }
    }

    fn list<R: WfckResultsProvider>(
        results: &R,
        bound_regions: u32,
        params: &[fhir::RefineParam],
    ) -> Self {
        Self::new(results, params, LayerKind::List { bound_regions })
    }

    fn coalesce<R: WfckResultsProvider>(
        results: &R,
        def_id: DefId,
        params: &[fhir::RefineParam],
    ) -> Self {
        Self::new(results, params, LayerKind::Coalesce(def_id))
    }

    fn get(&self, name: impl Borrow<fhir::ParamId>) -> Option<(usize, &ParamEntry)> {
        let (idx, _, entry) = self.map.get_full(name.borrow())?;
        Some((idx, entry))
    }

    fn into_bound_vars(self, genv: GlobalEnv) -> QueryResult<List<rty::BoundVariableKind>> {
        match self.kind {
            LayerKind::List { .. } => {
                Ok(self
                    .into_iter()
                    .map(|entry| {
                        let kind = rty::BoundReftKind::Named(entry.name);
                        rty::BoundVariableKind::Refine(entry.sort, entry.mode, kind)
                    })
                    .collect())
            }
            LayerKind::Coalesce(def_id) => {
                let sort_def = genv.adt_sort_def_of(def_id)?;
                let args = sort_def.identity_args();
                let ctor = rty::SortCtor::Adt(sort_def);
                Ok(List::singleton(rty::BoundVariableKind::Refine(
                    rty::Sort::App(ctor, args),
                    rty::InferMode::EVar,
                    rty::BoundReftKind::Anon,
                )))
            }
        }
    }

    fn to_bound_vars(&self, genv: GlobalEnv) -> QueryResult<List<rty::BoundVariableKind>> {
        self.clone().into_bound_vars(genv)
    }

    fn into_iter(self) -> impl Iterator<Item = ParamEntry> {
        self.map.into_values()
    }
}

impl ParamEntry {
    fn new(sort: rty::Sort, mode: fhir::InferMode, name: Symbol) -> Self {
        ParamEntry { name, sort, mode }
    }
}

impl LookupResult<'_> {
    fn to_expr(&self) -> rty::Expr {
        let espan = ESpan::new(self.var_span);
        match &self.kind {
            LookupResultKind::Bound { debruijn, entry: ParamEntry { name, .. }, kind, index } => {
                match *kind {
                    LayerKind::List { bound_regions } => {
                        rty::Expr::bvar(
                            *debruijn,
                            BoundVar::from_u32(bound_regions + *index),
                            rty::BoundReftKind::Named(*name),
                        )
                        .at(espan)
                    }
                    LayerKind::Coalesce(def_id) => {
                        let var =
                            rty::Expr::bvar(*debruijn, BoundVar::ZERO, rty::BoundReftKind::Anon)
                                .at(espan);
                        rty::Expr::field_proj(var, rty::FieldProj::Adt { def_id, field: *index })
                            .at(espan)
                    }
                }
            }
            &LookupResultKind::EarlyParam { index, name, .. } => {
                rty::Expr::early_param(index, name).at(espan)
            }
        }
    }
}

pub fn conv_func_decl(genv: GlobalEnv, func: &fhir::SpecFunc) -> QueryResult<rty::PolyFuncSort> {
    let wfckresults = WfckResults::new(FluxOwnerId::Flux(func.def_id));
    let mut cx = AfterSortck::new(genv, &wfckresults).into_conv_ctxt();
    let inputs_and_output = func
        .args
        .iter()
        .map(|p| &p.sort)
        .chain(iter::once(&func.sort))
        .map(|sort| cx.conv_sort(sort))
        .try_collect()?;
    let params = iter::repeat_n(rty::SortParamKind::Sort, func.params).collect();
    Ok(rty::PolyFuncSort::new(params, rty::FuncSort { inputs_and_output }))
}

fn conv_un_op(op: fhir::UnOp) -> rty::UnOp {
    match op {
        fhir::UnOp::Not => rty::UnOp::Not,
        fhir::UnOp::Neg => rty::UnOp::Neg,
    }
}

fn def_id_to_param_ty(genv: GlobalEnv, def_id: DefId) -> rty::ParamTy {
    rty::ParamTy { index: genv.def_id_to_param_index(def_id), name: ty_param_name(genv, def_id) }
}

fn def_id_to_param_const(genv: GlobalEnv, def_id: DefId) -> rty::ParamConst {
    rty::ParamConst { index: genv.def_id_to_param_index(def_id), name: ty_param_name(genv, def_id) }
}

fn ty_param_owner(genv: GlobalEnv, def_id: DefId) -> DefId {
    let def_kind = genv.def_kind(def_id);
    match def_kind {
        DefKind::Trait | DefKind::TraitAlias => def_id,
        DefKind::LifetimeParam | DefKind::TyParam | DefKind::ConstParam => {
            genv.tcx().parent(def_id)
        }
        _ => bug!("ty_param_owner: {:?} is a {:?} not a type parameter", def_id, def_kind),
    }
}

fn ty_param_name(genv: GlobalEnv, def_id: DefId) -> Symbol {
    let def_kind = genv.tcx().def_kind(def_id);
    match def_kind {
        DefKind::Trait | DefKind::TraitAlias => kw::SelfUpper,
        DefKind::LifetimeParam | DefKind::TyParam | DefKind::ConstParam => {
            genv.tcx().item_name(def_id)
        }
        _ => bug!("ty_param_name: {:?} is a {:?} not a type parameter", def_id, def_kind),
    }
}

/// This trait is used to define functions generically over both _associated refinements_
/// and _associated items_ (types, consts, and functions).
trait AssocItemTag: Copy {
    type AssocItem<'tcx>;

    fn descr(self) -> &'static str;

    fn trait_defines_item_named<'tcx>(
        self,
        genv: GlobalEnv<'_, 'tcx>,
        trait_def_id: DefId,
        assoc_name: Ident,
    ) -> QueryResult<Option<Self::AssocItem<'tcx>>>;

    fn transitive_bounds_that_define_assoc_item<'tcx>(
        self,
        genv: GlobalEnv<'_, 'tcx>,
        trait_refs: impl Iterator<Item = ty::PolyTraitRef<'tcx>>,
        assoc_name: Ident,
    ) -> impl Iterator<Item = ty::PolyTraitRef<'tcx>>;
}

impl AssocItemTag for AssocTag {
    type AssocItem<'tcx> = &'tcx AssocItem;

    fn descr(self) -> &'static str {
        match self {
            AssocTag::Const => "constant",
            AssocTag::Fn => "function",
            AssocTag::Type => "type",
        }
    }

    fn trait_defines_item_named<'tcx>(
        self,
        genv: GlobalEnv<'_, 'tcx>,
        trait_def_id: DefId,
        assoc_name: Ident,
    ) -> QueryResult<Option<Self::AssocItem<'tcx>>> {
        Ok(genv
            .tcx()
            .associated_items(trait_def_id)
            .find_by_ident_and_kind(genv.tcx(), assoc_name, self, trait_def_id))
    }

    fn transitive_bounds_that_define_assoc_item<'tcx>(
        self,
        genv: GlobalEnv<'_, 'tcx>,
        trait_refs: impl Iterator<Item = ty::PolyTraitRef<'tcx>>,
        assoc_name: Ident,
    ) -> impl Iterator<Item = ty::PolyTraitRef<'tcx>> {
        traits::transitive_bounds_that_define_assoc_item(genv.tcx(), trait_refs, assoc_name)
    }
}

#[derive(Copy, Clone)]
struct AssocReftTag;

impl AssocItemTag for AssocReftTag {
    type AssocItem<'tcx> = AssocReft;

    fn descr(self) -> &'static str {
        "refinement"
    }

    fn trait_defines_item_named<'tcx>(
        self,
        genv: GlobalEnv<'_, 'tcx>,
        trait_def_id: DefId,
        assoc_name: Ident,
    ) -> QueryResult<Option<Self::AssocItem<'tcx>>> {
        Ok(genv
            .assoc_refinements_of(trait_def_id)?
            .find(assoc_name.name))
    }

    fn transitive_bounds_that_define_assoc_item<'tcx>(
        self,
        genv: GlobalEnv<'_, 'tcx>,
        trait_refs: impl Iterator<Item = ty::PolyTraitRef<'tcx>>,
        _assoc_name: Ident,
    ) -> impl Iterator<Item = ty::PolyTraitRef<'tcx>> {
        transitive_bounds(genv.tcx(), trait_refs)
    }
}

/// This is like [`TyCtxt::type_param_predicates`] but computes all bounds not just the ones defining
/// an associated item. We *must* compute this ourselves to resolve type-relative associated refinements,
/// but we also use it to resolve type-relative type paths.
///
/// NOTE: [`TyCtxt::type_param_predicates`] is defined specifically to avoid cycles which is not a
/// problem for us so we can use it instead of [`TyCtxt::type_param_predicates`].
fn type_param_predicates<'tcx>(
    tcx: TyCtxt<'tcx>,
    param_id: DefId,
) -> impl Iterator<Item = ty::PolyTraitPredicate<'tcx>> {
    let parent = if tcx.def_kind(param_id) == DefKind::Trait {
        // If the param_id is a trait then this is the `Self` parameter and the parent is the trait itself
        param_id
    } else {
        tcx.parent(param_id)
    };
    let param_index = tcx
        .generics_of(parent)
        .param_def_id_to_index(tcx, param_id)
        .unwrap();
    let predicates = tcx.predicates_of(parent).instantiate_identity(tcx);
    predicates.into_iter().filter_map(move |(clause, _)| {
        clause
            .as_trait_clause()
            .filter(|trait_pred| trait_pred.self_ty().skip_binder().is_param(param_index))
    })
}

/// This is like [`traits::transitive_bounds_that_define_assoc_item`] but computes all bounds not just
/// the ones defining an associated item. We *must* compute this ourselves to resolve type-relative
/// associated refinements.
///
/// NOTE: [`traits::transitive_bounds_that_define_assoc_item`] is defined specifically to avoid cycles
/// which is not a problem for us. So instead of using `explicit_supertraits_containing_assoc_item` we
/// can simply use `explicit_super_predicates_of`.
fn transitive_bounds<'tcx>(
    tcx: TyCtxt<'tcx>,
    trait_refs: impl Iterator<Item = ty::PolyTraitRef<'tcx>>,
) -> impl Iterator<Item = ty::PolyTraitRef<'tcx>> {
    let mut seen = FxHashSet::default();
    let mut stack: Vec<_> = trait_refs.collect();

    std::iter::from_fn(move || {
        while let Some(trait_ref) = stack.pop() {
            if !seen.insert(tcx.anonymize_bound_vars(trait_ref)) {
                continue;
            }

            stack.extend(
                tcx.explicit_super_predicates_of(trait_ref.def_id())
                    .iter_identity_copied()
                    .map(|(clause, _)| clause.instantiate_supertrait(tcx, trait_ref))
                    .filter_map(|clause| clause.as_trait_clause())
                    .filter(|clause| clause.polarity() == ty::PredicatePolarity::Positive)
                    .map(|clause| clause.map_bound(|clause| clause.trait_ref)),
            );

            return Some(trait_ref);
        }

        None
    })
}

mod errors {
    use flux_errors::E0999;
    use flux_macros::Diagnostic;
    use flux_middle::{fhir, global_env::GlobalEnv, rty::Sort};
    use rustc_hir::def_id::DefId;
    use rustc_span::{Span, Symbol, symbol::Ident};

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_assoc_item_not_found, code = E0999)]
    #[note]
    pub(super) struct AssocItemNotFound {
        #[primary_span]
        #[label]
        pub span: Span,
        pub tag: &'static str,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_ambiguous_assoc_item, code = E0999)]
    pub(super) struct AmbiguousAssocItem {
        #[primary_span]
        pub span: Span,
        pub name: Ident,
        pub tag: &'static str,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_invalid_base_instance, code = E0999)]
    pub(super) struct InvalidBaseInstance {
        #[primary_span]
        span: Span,
    }

    impl InvalidBaseInstance {
        pub(super) fn new(span: Span) -> Self {
            Self { span }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_generic_argument_count_mismatch, code = E0999)]
    pub(super) struct GenericArgCountMismatch {
        #[primary_span]
        #[label]
        span: Span,
        found: usize,
        expected: usize,
        def_descr: &'static str,
    }

    impl GenericArgCountMismatch {
        pub(super) fn new(
            genv: GlobalEnv,
            def_id: DefId,
            segment: &fhir::PathSegment,
            expected: usize,
        ) -> Self {
            GenericArgCountMismatch {
                span: segment.ident.span,
                found: segment.args.len(),
                expected,
                def_descr: genv.tcx().def_descr(def_id),
            }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_too_few_generic_args, code = E0999)]
    pub(super) struct TooFewGenericArgs {
        #[primary_span]
        #[label]
        span: Span,
        found: usize,
        min: usize,
        def_descr: &'static str,
    }

    impl TooFewGenericArgs {
        pub(super) fn new(
            genv: GlobalEnv,
            def_id: DefId,
            segment: &fhir::PathSegment,
            min: usize,
        ) -> Self {
            Self {
                span: segment.ident.span,
                found: segment.args.len(),
                min,
                def_descr: genv.tcx().def_descr(def_id),
            }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_too_many_generic_args, code = E0999)]
    pub(super) struct TooManyGenericArgs {
        #[primary_span]
        #[label]
        span: Span,
        found: usize,
        max: usize,
        def_descr: &'static str,
    }

    impl TooManyGenericArgs {
        pub(super) fn new(
            genv: GlobalEnv,
            def_id: DefId,
            segment: &fhir::PathSegment,
            max: usize,
        ) -> Self {
            Self {
                span: segment.ident.span,
                found: segment.args.len(),
                max,
                def_descr: genv.tcx().def_descr(def_id),
            }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_refined_unrefinable_type, code = E0999)]
    pub(super) struct RefinedUnrefinableType {
        #[primary_span]
        span: Span,
    }

    impl RefinedUnrefinableType {
        pub(super) fn new(span: Span) -> Self {
            Self { span }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_generics_on_primitive_sort, code = E0999)]
    pub(super) struct GenericsOnPrimitiveSort {
        #[primary_span]
        #[label]
        span: Span,
        name: &'static str,
        found: usize,
        expected: usize,
    }

    impl GenericsOnPrimitiveSort {
        pub(super) fn new(span: Span, name: &'static str, found: usize, expected: usize) -> Self {
            Self { span, found, expected, name }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_incorrect_generics_on_sort, code = E0999)]
    pub(super) struct IncorrectGenericsOnSort {
        #[primary_span]
        #[label]
        span: Span,
        found: usize,
        expected: usize,
        def_descr: &'static str,
    }

    impl IncorrectGenericsOnSort {
        pub(super) fn new(
            genv: GlobalEnv,
            def_id: DefId,
            span: Span,
            found: usize,
            expected: usize,
        ) -> Self {
            Self { span, found, expected, def_descr: genv.tcx().def_descr(def_id) }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_generics_on_sort_ty_param, code = E0999)]
    pub(super) struct GenericsOnSortTyParam {
        #[primary_span]
        #[label]
        span: Span,
        found: usize,
    }

    impl GenericsOnSortTyParam {
        pub(super) fn new(span: Span, found: usize) -> Self {
            Self { span, found }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_generics_on_self_alias, code = E0999)]
    pub(super) struct GenericsOnSelf {
        #[primary_span]
        #[label]
        span: Span,
        found: usize,
    }

    impl GenericsOnSelf {
        pub(super) fn new(span: Span, found: usize) -> Self {
            Self { span, found }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_fields_on_reflected_enum_variant, code = E0999)]
    pub(super) struct FieldsOnReflectedEnumVariant {
        #[primary_span]
        #[label]
        span: Span,
    }

    impl FieldsOnReflectedEnumVariant {
        pub(super) fn new(span: Span) -> Self {
            Self { span }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_incorrect_generics_on_opaque_sort, code = E0999)]
    pub(super) struct IncorrectGenericsOnUserDefinedOpaqueSort {
        #[primary_span]
        #[label]
        span: Span,
        name: Symbol,
        expected: usize,
        found: usize,
    }

    impl IncorrectGenericsOnUserDefinedOpaqueSort {
        pub(super) fn new(span: Span, name: Symbol, expected: usize, found: usize) -> Self {
            Self { span, name, expected, found }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_generics_on_prim_ty, code = E0999)]
    pub(super) struct GenericsOnPrimTy {
        #[primary_span]
        pub span: Span,
        pub name: &'static str,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_generics_on_ty_param, code = E0999)]
    pub(super) struct GenericsOnTyParam {
        #[primary_span]
        pub span: Span,
        pub name: Symbol,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_generics_on_self_ty, code = E0999)]
    pub(super) struct GenericsOnSelfTy {
        #[primary_span]
        pub span: Span,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_generics_on_foreign_ty, code = E0999)]
    pub(super) struct GenericsOnForeignTy {
        #[primary_span]
        pub span: Span,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_invalid_bitvector_constant, code = E0999)]
    pub struct InvalidBitVectorConstant {
        #[primary_span]
        #[label]
        span: Span,
        sort: Sort,
    }

    impl InvalidBitVectorConstant {
        pub(crate) fn new(span: Span, sort: Sort) -> Self {
            Self { span, sort }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_invalid_assoc_reft, code = E0999)]
    pub struct InvalidAssocReft {
        #[primary_span]
        span: Span,
        trait_: String,
        name: Symbol,
    }

    impl InvalidAssocReft {
        pub(crate) fn new(span: Span, name: Symbol, trait_: String) -> Self {
            Self { span, trait_, name }
        }
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_refine_arg_mismatch, code = E0999)]
    pub(super) struct RefineArgMismatch {
        #[primary_span]
        #[label]
        pub span: Span,
        pub expected: usize,
        pub found: usize,
        pub kind: &'static str,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_expected_type, code = E0999)]
    pub(super) struct ExpectedType {
        #[primary_span]
        pub span: Span,
        pub def_descr: &'static str,
        pub name: String,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_fail_to_match_predicates, code = E0999)]
    pub(super) struct FailToMatchPredicates {
        #[primary_span]
        pub span: Span,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_invalid_res, code = E0999)]
    pub(super) struct InvalidRes {
        #[primary_span]
        pub span: Span,
        pub res_descr: &'static str,
    }

    #[derive(Diagnostic)]
    #[diag(fhir_analysis_constant_annotation_needed, code = E0999)]
    pub(super) struct ConstantAnnotationNeeded {
        #[primary_span]
        #[label]
        span: Span,
    }
    impl ConstantAnnotationNeeded {
        pub(super) fn new(span: Span) -> Self {
            Self { span }
        }
    }
}