Theorem bj-spvw

Description: Version of spvw proved from ax-1 -- ax-5 and the existence axiom extru . (Contributed by BJ, 8-Mar-2026) (Proof modification is discouraged.)

	Ref	Expression
Assertion	bj-spvw	|- ( E. x ph -> ( A. x ps -> ps ) )

Proof

Step	Hyp	Ref	Expression
1		bj-axdd2	|- ( E. x ph -> ( A. x ps -> E. x ps ) )
2		ax5e	|- ( E. x ps -> ps )
3	1 2	syl6	|- ( E. x ph -> ( A. x ps -> ps ) )