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	$$⊢A\in V\to \wr A^{-1}\in \mathrm{V}$$

Proof

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