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Definition f (n:nat) := n = n.
Lemma f_refl : forall n , f n.
intros. reflexivity.
Qed.
Definition f' (x:nat) (n:nat) := n = n.
Lemma f_refl' : forall n , f' n n.
Proof.
intros. reflexivity.
Qed.
Require Import ZArith.
Definition f'' (a:bool) := if a then eq (A:= Z) else Zlt.
Lemma f_refl'' : forall n , f'' true n n.
Proof.
intro. reflexivity.
Qed.
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