Metamath Proof Explorer


Theorem bj-genan

Description: Generalization rule on a conjunction. Forward inference associated with 19.26 . (Contributed by BJ, 7-Jul-2021)

Ref Expression
Hypothesis bj-genr.1 φ ψ
Assertion bj-genan x φ x ψ

Proof

Step Hyp Ref Expression
1 bj-genr.1 φ ψ
2 1 simpli φ
3 2 ax-gen x φ
4 1 simpri ψ
5 4 ax-gen x ψ
6 3 5 pm3.2i x φ x ψ