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Theorem mp1i 10
Description: Drop and replace an antecedent. (Contributed by Stefan O'Rear, 29-Jan-2015.)
Hypotheses
Ref Expression
mp1i.a  |-  ph
mp1i.b  |-  ( ph  ->  ps )
Assertion
Ref Expression
mp1i  |-  ( ch 
->  ps )

Proof of Theorem mp1i
StepHypRef Expression
1 mp1i.a . . 3  |-  ph
2 mp1i.b . . 3  |-  ( ph  ->  ps )
31, 2ax-mp 7 . 2  |-  ps
43a1i 9 1  |-  ( ch 
->  ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-1 5  ax-mp 7
This theorem is referenced by:  poirr2  4717  relcoi2  4848  tfrlemi14d  5947  findcard2d  6348  findcard2sd  6349  ac6sfi  6352  cauappcvgprlemladd  6756  caucvgprprlemmu  6793  caucvgsrlemfv  6875  recidpirqlemcalc  6933  recidpirq  6934
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