Theorem eccnvep

Description: The converse epsilon coset of a set is the set. (Contributed by Peter Mazsa, 27-Jan-2019)

	Ref	Expression
Assertion	eccnvep	⊢ ( 𝐴 ∈ 𝑉 → [ 𝐴 ] ◡ E = 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		eleccnvep	⊢ ( 𝐴 ∈ 𝑉 → ( 𝑥 ∈ [ 𝐴 ] ◡ E ↔ 𝑥 ∈ 𝐴 ) )
2	1	eqrdv	⊢ ( 𝐴 ∈ 𝑉 → [ 𝐴 ] ◡ E = 𝐴 )