Theorem con5i 38729

Description: Inference form of con5 38728. (Contributed by Alan Sare, 21-Apr-2013.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
con5i.1	|- ( ph <-> -. ps )

Assertion

Ref	Expression
con5i	|- ( -. ph -> ps )

Proof of Theorem con5i

Step	Hyp	Ref	Expression
1		con5i.1	. 2 |- ( ph <-> -. ps )
2		con5 38728	. 2 |- ( ( ph <-> -. ps ) -> ( -. ph -> ps ) )
3	1, 2	ax-mp 5	1 |- ( -. ph -> ps )

Syntax hints:   -. wn 3   -> wi 4   <-> wb 196

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197

This theorem is referenced by:  vk15.4j  38734  vk15.4jVD  39150