Metamath Proof Explorer


Theorem bj-ssbid2

Description: A special case of sbequ2 . (Contributed by BJ, 22-Dec-2020)

Ref Expression
Assertion bj-ssbid2 ⊢ x x φ → φ

Proof

Step Hyp Ref Expression
1 equid ⊢ x = x
2 sbequ2 ⊢ x = x → x x φ → φ
3 1 2 ax-mp ⊢ x x φ → φ