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