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Theorem pm2.24i 144
Description: Inference version of pm2.24 109. (Contributed by NM, 20-Aug-2001.)
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 . . 3  |-  ph
21a1i 11 . 2  |-  ( -. 
ps  ->  ph )
32con1i 129 1  |-  ( -. 
ph  ->  ps )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem is referenced by:  orci  390  niabn  949  ax13dgen1  1782  pmtrdifellem4  16377  usgraidx2v  24216  nbgra0nb  24252  nbgranself  24257  frgra3vlem1  24823  frgra3vlem2  24824  3vfriswmgralem  24827  negsym1  29809  wl-embant  29901  usgedgvadf1  32205  usgedgvadf1ALT  32208
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