Theorem pm2.52 646

Description: Theorem *2.52 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.) (Revised by Mario Carneiro, 31-Jan-2015.)

Assertion

Ref	Expression
pm2.52	|- ( -. ( ph -> ps ) -> ( -. ph -> -. ps ) )

Proof of Theorem pm2.52

Step	Hyp	Ref	Expression
1		conax1k 644	1 |- ( -. ( ph -> ps ) -> ( -. ph -> -. ps ) )

Syntax hints:   -. wn 3   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-in1 604  ax-in2 605

This theorem is referenced by:  pm2.521dcALT  860