File: bug_5369.v

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coq 8.20.1%2Bdfsg-1
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Require Import Coq.Classes.Morphisms Coq.Setoids.Setoid.
Axiom f g : nat -> nat -> nat.
Axiom Hfg : forall n m, n = n -> f n m = g n m.
Axiom LetIn : forall {A B} (x : A) (f : A -> B), B.
Axiom LetIn_Proper : forall A B, Proper (eq ==> pointwise_relation _ eq ==> eq)
(@ LetIn A B).
#[export] Existing Instance LetIn_Proper.

Goal forall n, LetIn n (fun n' => f 1 n') = LetIn n (fun n' => g 1 n').
Proof.
  intros.
  setoid_rewrite Hfg.
  - reflexivity.
  - exact (eq_refl 1).
Qed.