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Theorem pm2.24d 135
Description: Deduction version of pm2.24 101. (Contributed by NM, 30-Jan-2006.)
Hypothesis
Ref Expression
pm2.24d.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
pm2.24d  |-  ( ph  ->  ( -.  ps  ->  ch ) )

Proof of Theorem pm2.24d
StepHypRef Expression
1 pm2.24d.1 . . 3  |-  ( ph  ->  ps )
21a1d 22 . 2  |-  ( ph  ->  ( -.  ch  ->  ps ) )
32con1d 116 1  |-  ( ph  ->  ( -.  ps  ->  ch ) )
Colors of variables: wff set class
Syntax hints:   -. wn 3    -> wi 4
This theorem is referenced by:  pm2.5  144  asymref2  5076  xpexr  5130  reldmtpos  6258  abianfp  6487  zeo  10113  rpneg  10399  xrlttri  10489  difreicc  10783  gsumbagdiag  16138  psrass1lem  16139  cfinufil  17639  chirredi  22990  amosym1  24937  wl-adnestantd  24980  itg2addnclem  25003  bwt2  25695  gsumcom3fi  27558  tz6.12-afv  28141  trlonprop  28341  cdleme32e  31256
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
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