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Metamath Proof Explorer

Theorem cosscnvex

Description: If A is a set then the class of cosets by the converse of A is a set. (Contributed by Peter Mazsa, 18-Oct-2019)

		Ref	Expression
	Assertion	cosscnvex	$⊢ A \in V \to ≀ A^{-1} \in V$

Step	Hyp	Ref	Expression
1		cnvexg	$⊢ A \in V \to A^{-1} \in V$
2		cossex	$⊢ A^{-1} \in V \to ≀ A^{-1} \in V$
3	1 2	syl	$⊢ A \in V \to ≀ A^{-1} \in V$