Theorem bj-sylggt

Description: Stronger form of sylgt , closer to ax-2 . (Contributed by BJ, 30-Jul-2025)

	Ref	Expression
Assertion	bj-sylggt	|- ( ( ph -> A. x ( ps -> ch ) ) -> ( ( ph -> A. x ps ) -> ( ph -> A. x ch ) ) )

Proof

Step	Hyp	Ref	Expression
1		alim	|- ( A. x ( ps -> ch ) -> ( A. x ps -> A. x ch ) )
2	1	imim3i	|- ( ( ph -> A. x ( ps -> ch ) ) -> ( ( ph -> A. x ps ) -> ( ph -> A. x ch ) ) )