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Theorem expi 612
Description: An exportation inference. (Contributed by NM, 5-Aug-1993.) (Proof shortened by O'Cat, 28-Nov-2008.)
Hypothesis
Ref Expression
expi.1  |-  ( -.  ( ph  ->  -.  ps )  ->  ch )
Assertion
Ref Expression
expi  |-  ( ph  ->  ( ps  ->  ch ) )

Proof of Theorem expi
StepHypRef Expression
1 pm3.2im 611 . 2  |-  ( ph  ->  ( ps  ->  -.  ( ph  ->  -.  ps )
) )
2 expi.1 . 2  |-  ( -.  ( ph  ->  -.  ps )  ->  ch )
31, 2syl6 33 1  |-  ( ph  ->  ( ps  ->  ch ) )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-in1 588  ax-in2 589
This theorem is referenced by:  bj-nn0suc0  13075
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