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The Couple operation is commutative
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theories/ZornsLemma/Powerset_facts.v

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@@ -117,3 +117,9 @@ Proof.
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{ constructor. }
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destruct (classic (In U x)); [right|left]; assumption.
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Qed.
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Lemma Couple_swap X (x y : X) :
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Couple x y = Couple y x.
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Proof.
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extensionality_ensembles_inv; constructor.
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Qed.

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