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satos---jp/coq_practice_19_kai.v

Created May 18, 2014 13:01
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coq_practice_19_kai.v
Parameter A : Set.
Definition Eq : A -> A -> Prop :=
fun p q => (forall a: A-> Prop, a p <-> a q).
Lemma Eq_eq : forall x y, Eq x y <-> x = y.
Proof.
intros.
unfold Eq.
unfold iff.
split.
intros.
apply H.
reflexivity.
intros.
rewrite H.
split.
intros.
apply H0.
intros.
apply H0.
Qed.
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