Metamath Proof Explorer


Theorem bj-dvv

Description: A special instance of bj-hbaeb2 . A lemma for distinct var metavariables. Note that the right-hand side is a closed formula (a sentence). (Contributed by BJ, 6-Oct-2018)

Ref Expression
Assertion bj-dvv ⊢ ∀ x x = y ↔ ∀ x ∀ y x = y

Proof

Step Hyp Ref Expression
1 bj-hbaeb2 ⊢ ∀ x x = y ↔ ∀ x ∀ y x = y