diff --git a/clippy_lints/src/manual_async_fn.rs b/clippy_lints/src/manual_async_fn.rs
index 86819752f..2af3555e3 100644
--- a/clippy_lints/src/manual_async_fn.rs
+++ b/clippy_lints/src/manual_async_fn.rs
@@ -6,7 +6,7 @@ use if_chain::if_chain;
 use rustc_errors::Applicability;
 use rustc_hir::intravisit::FnKind;
 use rustc_hir::{
-    AsyncGeneratorKind, Block, Body, Expr, ExprKind, FnDecl, FnRetTy, GeneratorKind, GenericArg, GenericBound, HirId,
+    Term, AsyncGeneratorKind, Block, Body, Expr, ExprKind, FnDecl, FnRetTy, GeneratorKind, GenericArg, GenericBound, HirId,
     IsAsync, ItemKind, LifetimeName, TraitRef, Ty, TyKind, TypeBindingKind,
 };
 use rustc_lint::{LateContext, LateLintPass};
@@ -140,7 +140,7 @@ fn future_output_ty<'tcx>(trait_ref: &'tcx TraitRef<'tcx>) -> Option<&'tcx Ty<'t
         if args.bindings.len() == 1;
         let binding = &args.bindings[0];
         if binding.ident.name == sym::Output;
-        if let TypeBindingKind::Equality{ty: output} = binding.kind;
+        if let TypeBindingKind::Equality{term: Term::Ty(output)} = binding.kind;
         then {
             return Some(output)
         }
diff --git a/clippy_lints/src/methods/mod.rs b/clippy_lints/src/methods/mod.rs
index 7357219f7..a9a06c3db 100644
--- a/clippy_lints/src/methods/mod.rs
+++ b/clippy_lints/src/methods/mod.rs
@@ -2178,12 +2178,16 @@ impl<'tcx> LateLintPass<'tcx> for Methods {
                 // one of the associated types must be Self
                 for &(predicate, _span) in cx.tcx.explicit_item_bounds(def_id) {
                     if let ty::PredicateKind::Projection(projection_predicate) = predicate.kind().skip_binder() {
+                        let assoc_ty = match projection_predicate.term {
+                          ty::Term::Ty(ty) => ty,
+                          ty::Term::Const(_c) => continue,
+                        };
                         // walk the associated type and check for Self
                         if let Some(self_adt) = self_ty.ty_adt_def() {
-                            if contains_adt_constructor(projection_predicate.ty, self_adt) {
+                            if contains_adt_constructor(assoc_ty, self_adt) {
                                 return;
                             }
-                        } else if contains_ty(projection_predicate.ty, self_ty) {
+                        } else if contains_ty(assoc_ty, self_ty) {
                             return;
                         }
                     }
diff --git a/clippy_lints/src/methods/unnecessary_to_owned.rs b/clippy_lints/src/methods/unnecessary_to_owned.rs
index e5b6d296b..9162de3cc 100644
--- a/clippy_lints/src/methods/unnecessary_to_owned.rs
+++ b/clippy_lints/src/methods/unnecessary_to_owned.rs
@@ -243,9 +243,10 @@ fn check_other_call_arg<'tcx>(
         if if trait_predicate.def_id() == deref_trait_id {
             if let [projection_predicate] = projection_predicates[..] {
                 let normalized_ty =
-                    cx.tcx.subst_and_normalize_erasing_regions(call_substs, cx.param_env, projection_predicate.ty);
+                    cx.tcx.subst_and_normalize_erasing_regions(call_substs, cx.param_env, projection_predicate.term);
                 implements_trait(cx, receiver_ty, deref_trait_id, &[])
-                    && get_associated_type(cx, receiver_ty, deref_trait_id, "Target") == Some(normalized_ty)
+                    && get_associated_type(cx, receiver_ty, deref_trait_id,
+                    "Target").map_or(false, |ty| ty::Term::Ty(ty) == normalized_ty)
             } else {
                 false
             }
diff --git a/clippy_lints/src/unit_return_expecting_ord.rs b/clippy_lints/src/unit_return_expecting_ord.rs
index fe35ff33d..68156df2e 100644
--- a/clippy_lints/src/unit_return_expecting_ord.rs
+++ b/clippy_lints/src/unit_return_expecting_ord.rs
@@ -98,9 +98,10 @@ fn get_args_to_check<'tcx>(cx: &LateContext<'tcx>, expr: &'tcx Expr<'tcx>) -> Ve
                         if trait_pred.self_ty() == inp;
                         if let Some(return_ty_pred) = get_projection_pred(cx, generics, *trait_pred);
                         then {
-                            if ord_preds.iter().any(|ord| ord.self_ty() == return_ty_pred.ty) {
+                            if ord_preds.iter().any(|ord| Some(ord.self_ty()) ==
+                            return_ty_pred.term.ty()) {
                                 args_to_check.push((i, "Ord".to_string()));
-                            } else if partial_ord_preds.iter().any(|pord| pord.self_ty() == return_ty_pred.ty) {
+                            } else if partial_ord_preds.iter().any(|pord| pord.self_ty() == return_ty_pred.term.ty().unwrap()) {
                                 args_to_check.push((i, "PartialOrd".to_string()));
                             }
                         }
diff --git a/clippy_utils/src/ast_utils.rs b/clippy_utils/src/ast_utils.rs
index 3d3180521..604c95d2b 100644
--- a/clippy_utils/src/ast_utils.rs
+++ b/clippy_utils/src/ast_utils.rs
@@ -645,11 +645,19 @@ pub fn eq_generic_bound(l: &GenericBound, r: &GenericBound) -> bool {
     }
 }
 
-pub fn eq_assoc_constraint(l: &AssocTyConstraint, r: &AssocTyConstraint) -> bool {
-    use AssocTyConstraintKind::*;
+fn eq_term(l: &Term, r: &Term) -> bool {
+  match (l, r) {
+    (Term::Ty(l), Term::Ty(r)) => eq_ty(l,r),
+    (Term::Const(l), Term::Const(r)) => eq_anon_const(l,r),
+    _ => false,
+  }
+}
+
+pub fn eq_assoc_constraint(l: &AssocConstraint, r: &AssocConstraint) -> bool {
+    use AssocConstraintKind::*;
     eq_id(l.ident, r.ident)
         && match (&l.kind, &r.kind) {
-            (Equality { ty: l }, Equality { ty: r }) => eq_ty(l, r),
+            (Equality { term: l }, Equality { term: r }) => eq_term(l, r),
             (Bound { bounds: l }, Bound { bounds: r }) => over(l, r, eq_generic_bound),
             _ => false,
         }