diff --git a/compiler/rustc_trait_selection/src/traits/error_reporting/mod.rs b/compiler/rustc_trait_selection/src/traits/error_reporting/mod.rs
index 3c5e36123ec..18131642760 100644
--- a/compiler/rustc_trait_selection/src/traits/error_reporting/mod.rs
+++ b/compiler/rustc_trait_selection/src/traits/error_reporting/mod.rs
@@ -35,7 +35,7 @@ use rustc_middle::traits::select::OverflowError;
 use rustc_middle::ty::abstract_const::NotConstEvaluatable;
 use rustc_middle::ty::error::ExpectedFound;
 use rustc_middle::ty::fold::{TypeFolder, TypeSuperFoldable};
-use rustc_middle::ty::print::{FmtPrinter, Print};
+use rustc_middle::ty::print::{with_forced_trimmed_paths, FmtPrinter, Print};
 use rustc_middle::ty::{
     self, SubtypePredicate, ToPolyTraitRef, ToPredicate, TraitRef, Ty, TyCtxt, TypeFoldable,
     TypeVisitable,
@@ -1757,21 +1757,26 @@ impl<'tcx> InferCtxtPrivExt<'tcx> for TypeErrCtxt<'_, 'tcx> {
         let trait_def_id = pred.projection_ty.trait_def_id(self.tcx);
         let self_ty = pred.projection_ty.self_ty();
 
-        if Some(pred.projection_ty.def_id) == self.tcx.lang_items().fn_once_output() {
-            Some(format!(
-                "expected `{self_ty}` to be a {fn_kind} that returns `{expected_ty}`, but it returns `{normalized_ty}`",
-                fn_kind = self_ty.prefix_string(self.tcx)
-            ))
-        } else if Some(trait_def_id) == self.tcx.lang_items().future_trait() {
-            Some(format!(
-                "expected `{self_ty}` to be a future that resolves to `{expected_ty}`, but it resolves to `{normalized_ty}`"
-            ))
-        } else if Some(trait_def_id) == self.tcx.get_diagnostic_item(sym::Iterator) {
-            Some(format!(
-                "expected `{self_ty}` to be an iterator that yields `{expected_ty}`, but it yields `{normalized_ty}`"
-            ))
-        } else {
-            None
+        with_forced_trimmed_paths! {
+            if Some(pred.projection_ty.def_id) == self.tcx.lang_items().fn_once_output() {
+                Some(format!(
+                    "expected `{self_ty}` to be a {fn_kind} that returns `{expected_ty}`, but it \
+                     returns `{normalized_ty}`",
+                    fn_kind = self_ty.prefix_string(self.tcx)
+                ))
+            } else if Some(trait_def_id) == self.tcx.lang_items().future_trait() {
+                Some(format!(
+                    "expected `{self_ty}` to be a future that resolves to `{expected_ty}`, but it \
+                     resolves to `{normalized_ty}`"
+                ))
+            } else if Some(trait_def_id) == self.tcx.get_diagnostic_item(sym::Iterator) {
+                Some(format!(
+                    "expected `{self_ty}` to be an iterator that yields `{expected_ty}`, but it \
+                     yields `{normalized_ty}`"
+                ))
+            } else {
+                None
+            }
         }
     }
 
diff --git a/src/test/ui/associated-types/associated-types-overridden-binding-2.rs b/src/test/ui/associated-types/associated-types-overridden-binding-2.rs
index 26b9f4b3a92..fed60ccf089 100644
--- a/src/test/ui/associated-types/associated-types-overridden-binding-2.rs
+++ b/src/test/ui/associated-types/associated-types-overridden-binding-2.rs
@@ -4,5 +4,5 @@ trait I32Iterator = Iterator<Item = i32>;
 
 fn main() {
     let _: &dyn I32Iterator<Item = u32> = &vec![42].into_iter();
-    //~^ ERROR expected `std::vec::IntoIter<u32>` to be an iterator that yields `i32`, but it yields `u32`
+    //~^ ERROR expected `IntoIter<u32>` to be an iterator that yields `i32`, but it yields `u32`
 }
diff --git a/src/test/ui/associated-types/associated-types-overridden-binding-2.stderr b/src/test/ui/associated-types/associated-types-overridden-binding-2.stderr
index 2d25f68de44..a28a0b74e4a 100644
--- a/src/test/ui/associated-types/associated-types-overridden-binding-2.stderr
+++ b/src/test/ui/associated-types/associated-types-overridden-binding-2.stderr
@@ -1,4 +1,4 @@
-error[E0271]: expected `std::vec::IntoIter<u32>` to be an iterator that yields `i32`, but it yields `u32`
+error[E0271]: expected `IntoIter<u32>` to be an iterator that yields `i32`, but it yields `u32`
   --> $DIR/associated-types-overridden-binding-2.rs:6:43
    |
 LL |     let _: &dyn I32Iterator<Item = u32> = &vec![42].into_iter();
diff --git a/src/test/ui/issues/issue-31173.stderr b/src/test/ui/issues/issue-31173.stderr
index 99f0519b14c..73989c51820 100644
--- a/src/test/ui/issues/issue-31173.stderr
+++ b/src/test/ui/issues/issue-31173.stderr
@@ -1,4 +1,4 @@
-error[E0271]: expected `TakeWhile<&mut std::vec::IntoIter<u8>, [closure@$DIR/issue-31173.rs:7:21: 7:25]>` to be an iterator that yields `&_`, but it yields `u8`
+error[E0271]: expected `TakeWhile<&mut IntoIter<u8>, [closure@$DIR/issue-31173.rs:7:21: 7:25]>` to be an iterator that yields `&_`, but it yields `u8`
   --> $DIR/issue-31173.rs:11:10
    |
 LL |         .cloned()
diff --git a/src/test/ui/issues/issue-33941.rs b/src/test/ui/issues/issue-33941.rs
index 8430e85df87..e3b6dcf55a7 100644
--- a/src/test/ui/issues/issue-33941.rs
+++ b/src/test/ui/issues/issue-33941.rs
@@ -3,7 +3,7 @@
 use std::collections::HashMap;
 
 fn main() {
-    for _ in HashMap::new().iter().cloned() {} //~ ERROR expected `std::collections::hash_map::Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
-    //~^ ERROR expected `std::collections::hash_map::Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
-    //~| ERROR expected `std::collections::hash_map::Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
+    for _ in HashMap::new().iter().cloned() {} //~ ERROR expected `Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
+    //~^ ERROR expected `Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
+    //~| ERROR expected `Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
 }
diff --git a/src/test/ui/issues/issue-33941.stderr b/src/test/ui/issues/issue-33941.stderr
index f33d33308d7..668eaabca4c 100644
--- a/src/test/ui/issues/issue-33941.stderr
+++ b/src/test/ui/issues/issue-33941.stderr
@@ -1,4 +1,4 @@
-error[E0271]: expected `std::collections::hash_map::Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
+error[E0271]: expected `Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
   --> $DIR/issue-33941.rs:6:36
    |
 LL |     for _ in HashMap::new().iter().cloned() {}
@@ -16,7 +16,7 @@ LL |     for _ in HashMap::new().iter().cloned() {}
 note: required by a bound in `cloned`
   --> $SRC_DIR/core/src/iter/traits/iterator.rs:LL:COL
 
-error[E0271]: expected `std::collections::hash_map::Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
+error[E0271]: expected `Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
   --> $DIR/issue-33941.rs:6:14
    |
 LL |     for _ in HashMap::new().iter().cloned() {}
@@ -27,7 +27,7 @@ LL |     for _ in HashMap::new().iter().cloned() {}
    = note: required for `Cloned<std::collections::hash_map::Iter<'_, _, _>>` to implement `Iterator`
    = note: required for `Cloned<std::collections::hash_map::Iter<'_, _, _>>` to implement `IntoIterator`
 
-error[E0271]: expected `std::collections::hash_map::Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
+error[E0271]: expected `Iter<'_, _, _>` to be an iterator that yields `&_`, but it yields `(&_, &_)`
   --> $DIR/issue-33941.rs:6:14
    |
 LL |     for _ in HashMap::new().iter().cloned() {}
diff --git a/src/test/ui/traits/assoc-type-in-superbad.rs b/src/test/ui/traits/assoc-type-in-superbad.rs
index d7d6241ef70..65340b2a209 100644
--- a/src/test/ui/traits/assoc-type-in-superbad.rs
+++ b/src/test/ui/traits/assoc-type-in-superbad.rs
@@ -10,7 +10,7 @@ pub trait Foo: Iterator<Item = <Self as Foo>::Key> {
 
 impl Foo for IntoIter<i32> {
     type Key = u32;
-    //~^ ERROR expected `std::vec::IntoIter<i32>` to be an iterator that yields `u32`, but it yields `i32`
+    //~^ ERROR expected `IntoIter<i32>` to be an iterator that yields `u32`, but it yields `i32`
 }
 
 fn main() {}
diff --git a/src/test/ui/traits/assoc-type-in-superbad.stderr b/src/test/ui/traits/assoc-type-in-superbad.stderr
index 3e2d9d9038a..7fa1d2c2eed 100644
--- a/src/test/ui/traits/assoc-type-in-superbad.stderr
+++ b/src/test/ui/traits/assoc-type-in-superbad.stderr
@@ -1,4 +1,4 @@
-error[E0271]: expected `std::vec::IntoIter<i32>` to be an iterator that yields `u32`, but it yields `i32`
+error[E0271]: expected `IntoIter<i32>` to be an iterator that yields `u32`, but it yields `i32`
   --> $DIR/assoc-type-in-superbad.rs:12:16
    |
 LL |     type Key = u32;
diff --git a/src/test/ui/type-alias-impl-trait/issue-57961.rs b/src/test/ui/type-alias-impl-trait/issue-57961.rs
index 24b3a045856..4aa5966ff25 100644
--- a/src/test/ui/type-alias-impl-trait/issue-57961.rs
+++ b/src/test/ui/type-alias-impl-trait/issue-57961.rs
@@ -8,7 +8,7 @@ trait Foo {
 
 impl Foo for () {
     type Bar = std::vec::IntoIter<u32>;
-    //~^ ERROR expected `std::vec::IntoIter<u32>` to be an iterator that yields `X`, but it yields `u32`
+    //~^ ERROR expected `IntoIter<u32>` to be an iterator that yields `X`, but it yields `u32`
 }
 
 fn incoherent() {
diff --git a/src/test/ui/type-alias-impl-trait/issue-57961.stderr b/src/test/ui/type-alias-impl-trait/issue-57961.stderr
index fb40895c49f..8d11b488889 100644
--- a/src/test/ui/type-alias-impl-trait/issue-57961.stderr
+++ b/src/test/ui/type-alias-impl-trait/issue-57961.stderr
@@ -1,4 +1,4 @@
-error[E0271]: expected `std::vec::IntoIter<u32>` to be an iterator that yields `X`, but it yields `u32`
+error[E0271]: expected `IntoIter<u32>` to be an iterator that yields `X`, but it yields `u32`
   --> $DIR/issue-57961.rs:10:16
    |
 LL | type X = impl Sized;