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Theorem pm2.43b 52
Description: Inference absorbing redundant antecedent. (Contributed by NM, 31-Oct-1995.)
Hypothesis
Ref Expression
pm2.43b.1  |-  ( ps 
->  ( ph  ->  ( ps  ->  ch ) ) )
Assertion
Ref Expression
pm2.43b  |-  ( ph  ->  ( ps  ->  ch ) )

Proof of Theorem pm2.43b
StepHypRef Expression
1 pm2.43b.1 . . 3  |-  ( ps 
->  ( ph  ->  ( ps  ->  ch ) ) )
21pm2.43a 51 . 2  |-  ( ps 
->  ( ph  ->  ch ) )
32com12 30 1  |-  ( ph  ->  ( ps  ->  ch ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  trel  4070  trss  4072  elirr  4501  en2lp  4514  funfvima  5699  nnmulcl  8855  ico0  10165  ioc0  10166  bj-nn0sucALT  13595
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