Set Implicit Arguments. Record Place (Env A: Type) : Type := { read: Env -> A ; write: Env -> A -> Env ; write_read: forall (e:Env), (write e (read e))=e }. Hint Rewrite -> write_read: placeeq. Record sumPl (Env A B: Type) (vL:(Place Env A)) (vR:(Place Env B)) : Type := { mkEnv: A -> B -> Env ; mkEnv2writeL: forall (e:Env) (x:A), (mkEnv x (read vR e))=(write vL e x) }. (* when the following line is commented, the bug does not appear *) Hint Rewrite -> mkEnv2writeL: placeeq. Lemma autorewrite_raise_anomaly: forall (Env A:Type) (e: Env) (p:Place Env A), (exists e1:Env, e=(write p e1 (read p e))). Proof. intros Env A e p; eapply ex_intro. autorewrite with placeeq. (* Here is the bug *) auto. Qed.