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 ∈ 𝑉 → ≀ ◡ 𝐴 ∈ V )

Proof

Step	Hyp	Ref	Expression
1		cnvexg	⊢ ( 𝐴 ∈ 𝑉 → ◡ 𝐴 ∈ V )
2		cossex	⊢ ( ◡ 𝐴 ∈ V → ≀ ◡ 𝐴 ∈ V )
3	1 2	syl	⊢ ( 𝐴 ∈ 𝑉 → ≀ ◡ 𝐴 ∈ V )