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+Set Primitive Projections.
+
+Record foo := mkFoo { proj1 : bool; proj2 : bool }.
+
+Definition x := mkFoo true false.
+Definition proj x := proj2 x.
+
+Lemma oops : proj = fun x => proj1 x.
+Proof. Fail native_compute; reflexivity. Abort.
+
+(*
+Lemma bad : False.
+assert (proj1 x = proj x).
+  rewrite oops; reflexivity.
+discriminate.
+Qed.
+
+Print Assumptions bad.
+*)