Metamath Proof Explorer


Theorem bj-hbal

Description: More general instance of hbal . (Contributed by BJ, 4-Apr-2026)

Ref Expression
Hypothesis bj-hbal.1
|- ( ph -> A. x ps )
Assertion bj-hbal
|- ( A. y ph -> A. x A. y ps )

Proof

Step Hyp Ref Expression
1 bj-hbal.1
 |-  ( ph -> A. x ps )
2 bj-hbalt
 |-  ( A. y ( ph -> A. x ps ) -> ( A. y ph -> A. x A. y ps ) )
3 2 1 mpg
 |-  ( A. y ph -> A. x A. y ps )