Metamath Proof Explorer

Theorem bj-genr

Description: Generalization rule on the right conjunct. See 19.28 . (Contributed by BJ, 7-Jul-2021)

Ref Expression
Hypothesis bj-genr.1 
|- ( ph /\ ps )
Assertion bj-genr 
|- ( ph /\ A. x ps )

Proof

Step Hyp Ref Expression
1 bj-genr.1 
 |-  ( ph /\ ps )
2 1 simpli 
 |-  ph
3 1 simpri 
 |-  ps
4 3 ax-gen 
 |-  A. x ps
5 2 4 pm3.2i 
 |-  ( ph /\ A. x ps )