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Theorem con3dimp 574
Description: Variant of con3d 571 with importation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.)
Hypothesis
Ref Expression
con3dimp.1  |-  ( ph  ->  ( ps  ->  ch ) )
Assertion
Ref Expression
con3dimp  |-  ( (
ph  /\  -.  ch )  ->  -.  ps )

Proof of Theorem con3dimp
StepHypRef Expression
1 con3dimp.1 . . 3  |-  ( ph  ->  ( ps  ->  ch ) )
21con3d 571 . 2  |-  ( ph  ->  ( -.  ch  ->  -. 
ps ) )
32imp 119 1  |-  ( (
ph  /\  -.  ch )  ->  -.  ps )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4    /\ wa 101
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-in1 554  ax-in2 555
This theorem is referenced by:  nelneq  2154  nelneq2  2155  bcpasc  9634
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