diff --git a/src/test/ui/type-alias-impl-trait/issue-84660-trait-impl-for-tait.rs b/src/test/ui/type-alias-impl-trait/issue-84660-trait-impl-for-tait.rs
new file mode 100644
index 00000000000..1a0acca7881
--- /dev/null
+++ b/src/test/ui/type-alias-impl-trait/issue-84660-trait-impl-for-tait.rs
@@ -0,0 +1,23 @@
+// Regression test for issues #84660 and #86411: both are variations on #76202.
+// Tests that we don't ICE when we have an opaque type appearing anywhere in an impl header.
+
+#![feature(min_type_alias_impl_trait)]
+
+trait Foo {}
+impl Foo for () {}
+type Bar = impl Foo;
+fn _defining_use() -> Bar {}
+
+trait TraitArg<T> {
+    fn f();
+}
+
+impl TraitArg<Bar> for () { //~ ERROR cannot implement trait
+    fn f() {
+        println!("ho");
+    }
+}
+
+fn main() {
+    <() as TraitArg<Bar>>::f();
+}
diff --git a/src/test/ui/type-alias-impl-trait/issue-84660-trait-impl-for-tait.stderr b/src/test/ui/type-alias-impl-trait/issue-84660-trait-impl-for-tait.stderr
new file mode 100644
index 00000000000..1b8eee40717
--- /dev/null
+++ b/src/test/ui/type-alias-impl-trait/issue-84660-trait-impl-for-tait.stderr
@@ -0,0 +1,14 @@
+error: cannot implement trait on type alias impl trait
+  --> $DIR/issue-84660-trait-impl-for-tait.rs:15:1
+   |
+LL | impl TraitArg<Bar> for () {
+   | ^^^^^^^^^^^^^^^^^^^^^^^^^
+   |
+note: type alias impl trait defined here
+  --> $DIR/issue-84660-trait-impl-for-tait.rs:8:12
+   |
+LL | type Bar = impl Foo;
+   |            ^^^^^^^^
+
+error: aborting due to previous error
+
diff --git a/src/test/ui/type-alias-impl-trait/issue-84660-unsoundness.rs b/src/test/ui/type-alias-impl-trait/issue-84660-unsoundness.rs
new file mode 100644
index 00000000000..18213dfbe5b
--- /dev/null
+++ b/src/test/ui/type-alias-impl-trait/issue-84660-unsoundness.rs
@@ -0,0 +1,41 @@
+// Another example from issue #84660, this time weaponized as a safe transmut: an opaque type in an
+// impl header being accepted was used to create unsoundness.
+
+#![feature(min_type_alias_impl_trait)]
+
+trait Foo {}
+impl Foo for () {}
+type Bar = impl Foo;
+fn _defining_use() -> Bar {}
+
+trait Trait<T, In> {
+    type Out;
+    fn convert(i: In) -> Self::Out;
+}
+
+impl<In, Out> Trait<Bar, In> for Out { //~ ERROR cannot implement trait
+    type Out = Out;
+    fn convert(_i: In) -> Self::Out {
+        unreachable!();
+    }
+}
+
+impl<In, Out> Trait<(), In> for Out {
+    type Out = In;
+    fn convert(i: In) -> Self::Out {
+        i
+    }
+}
+
+fn transmute<In, Out>(i: In) -> Out {
+    <Out as Trait<Bar, In>>::convert(i)
+}
+
+fn main() {
+    let d;
+    {
+        let x = "Hello World".to_string();
+        d = transmute::<&String, &String>(&x);
+    }
+    println!("{}", d);
+}
diff --git a/src/test/ui/type-alias-impl-trait/issue-84660-unsoundness.stderr b/src/test/ui/type-alias-impl-trait/issue-84660-unsoundness.stderr
new file mode 100644
index 00000000000..b1128d830f9
--- /dev/null
+++ b/src/test/ui/type-alias-impl-trait/issue-84660-unsoundness.stderr
@@ -0,0 +1,14 @@
+error: cannot implement trait on type alias impl trait
+  --> $DIR/issue-84660-unsoundness.rs:16:1
+   |
+LL | impl<In, Out> Trait<Bar, In> for Out {
+   | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+   |
+note: type alias impl trait defined here
+  --> $DIR/issue-84660-unsoundness.rs:8:12
+   |
+LL | type Bar = impl Foo;
+   |            ^^^^^^^^
+
+error: aborting due to previous error
+