Theorem bj-spnfw 31263

Description: Theorem close to a closed form of spnfw 1843. (Contributed by BJ, 12-May-2019.)

Assertion

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

Proof of Theorem bj-spnfw

Step	Hyp	Ref	Expression
1		19.2 1808	. 2 |- ( A. x ph -> E. x ph )
2	1	imim1i 60	1 |- ( ( E. x ph -> ps ) -> ( A. x ph -> ps ) )

Syntax hints:   -> wi 4   A.wal 1441   E.wex 1662

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1668  ax-4 1681  ax-6 1804

This theorem depends on definitions:  df-bi 189  df-ex 1663

This theorem is referenced by: (None)