Metamath Proof Explorer


Theorem iseqsetvlem

Description: Lemma for iseqsetv-cleq . (Contributed by Wolf Lammen, 17-Aug-2025) (Proof modification is discouraged.)

Ref Expression
Assertion iseqsetvlem ⊢ ∃ x x = A ↔ ∃ z z = A

Proof

Step Hyp Ref Expression
1 eqeq1 ⊢ x = z → x = A ↔ z = A
2 1 cbvexvw ⊢ ∃ x x = A ↔ ∃ z z = A