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Theorem con5i 28286
Description: Inference form of con5 28285. (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
StepHypRef Expression
1 con5i.1 . 2  |-  ( ph  <->  -. 
ps )
2 con5 28285 . 2  |-  ( (
ph 
<->  -.  ps )  -> 
( -.  ph  ->  ps ) )
31, 2ax-mp 8 1  |-  ( -. 
ph  ->  ps )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4    <-> wb 176
This theorem is referenced by:  vk15.4j  28291  vk15.4jVD  28690
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177
  Copyright terms: Public domain W3C validator