diff --git a/compiler/rustc_mir/src/borrow_check/type_check/input_output.rs b/compiler/rustc_mir/src/borrow_check/type_check/input_output.rs
index 1e0a2b0c42177af61fadb59b3979f3797048fe39..c815ed0d1cb49c18585b71a1bc461e70e7202223 100644
--- a/compiler/rustc_mir/src/borrow_check/type_check/input_output.rs
+++ b/compiler/rustc_mir/src/borrow_check/type_check/input_output.rs
@@ -182,6 +182,7 @@ fn equate_normalized_input_or_output(&mut self, a: Ty<'tcx>, b: Ty<'tcx>, span:
                         matches!(
                             o.predicate.kind().skip_binder(),
                             ty::PredicateKind::RegionOutlives(_)
+                                | ty::PredicateKind::TypeOutlives(_)
                         )
                     }) {
                         n.value
diff --git a/src/test/ui/associated-types/normalization-generality-2.rs b/src/test/ui/associated-types/normalization-generality-2.rs
new file mode 100644
index 0000000000000000000000000000000000000000..d8790bb2d12fc1c3b162f5e8fcaa94bce353d3ae
--- /dev/null
+++ b/src/test/ui/associated-types/normalization-generality-2.rs
@@ -0,0 +1,30 @@
+// build-pass
+
+// Ensures that we don't regress on "implementation is not general enough" when
+// normalizating under binders. Unlike `normalization-generality.rs`, this also produces
+// type outlives predicates that we must ignore.
+
+pub unsafe trait Yokeable<'a> {
+    type Output: 'a;
+}
+pub struct Yoke<Y: for<'a> Yokeable<'a>> {
+    _marker: std::marker::PhantomData<Y>,
+}
+impl<Y: for<'a> Yokeable<'a>> Yoke<Y> {
+    pub fn project<P>(
+        &self,
+        _f: for<'a> fn(&<Y as Yokeable<'a>>::Output, &'a ()) -> <P as Yokeable<'a>>::Output,
+    ) -> Yoke<P>
+    where
+        P: for<'a> Yokeable<'a>,
+    {
+        unimplemented!()
+    }
+}
+pub fn slice(y: Yoke<&'static str>) -> Yoke<&'static [u8]> {
+    y.project(move |yk, _| yk.as_bytes())
+}
+unsafe impl<'a, T: 'static + ?Sized> Yokeable<'a> for &'static T {
+    type Output = &'a T;
+}
+fn main() {}