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Theorem pm2.43a 50
Description: Inference absorbing redundant antecedent. (Contributed by NM, 7-Nov-1995.) (Proof shortened by O'Cat, 28-Nov-2008.)
Hypothesis
Ref Expression
pm2.43a.1  |-  ( ps 
->  ( ph  ->  ( ps  ->  ch ) ) )
Assertion
Ref Expression
pm2.43a  |-  ( ps 
->  ( ph  ->  ch ) )

Proof of Theorem pm2.43a
StepHypRef Expression
1 id 19 . 2  |-  ( ps 
->  ps )
2 pm2.43a.1 . 2  |-  ( ps 
->  ( ph  ->  ( ps  ->  ch ) ) )
31, 2mpid 41 1  |-  ( ps 
->  ( ph  ->  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:  pm2.43b  51  rspc  2696  rspc2gv  2713  intss1  3659  fvopab3ig  5278  nndi  6130  uzind2  8540  ssfzo12  9310
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