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Theorem pm2.24i 563
Description: Inference version of pm2.24 561. (Contributed by NM, 20-Aug-2001.) (Revised by Mario Carneiro, 31-Jan-2015.)
Hypothesis
Ref Expression
pm2.24i.1  |-  ph
Assertion
Ref Expression
pm2.24i  |-  ( -. 
ph  ->  ps )

Proof of Theorem pm2.24i
StepHypRef Expression
1 pm2.24i.1 . 2  |-  ph
2 pm2.21 557 . 2  |-  ( -. 
ph  ->  ( ph  ->  ps ) )
31, 2mpi 15 1  |-  ( -. 
ph  ->  ps )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-in2 555
This theorem is referenced by:  niabn  885
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