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Theorem pm2.43b 51
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 50 . 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-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  trel  3943  trss  3945  elirr  4357  en2lp  4370  funfvima  5526  nnmulcl  8443  ico0  9673  ioc0  9674  bj-nn0sucALT  11873
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