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Theorem impac 373
Description: Importation with conjunction in consequent. (Contributed by NM, 9-Aug-1994.)
Hypothesis
Ref Expression
impac.1  |-  ( ph  ->  ( ps  ->  ch ) )
Assertion
Ref Expression
impac  |-  ( (
ph  /\  ps )  ->  ( ch  /\  ps ) )

Proof of Theorem impac
StepHypRef Expression
1 impac.1 . . 3  |-  ( ph  ->  ( ps  ->  ch ) )
21ancrd 319 . 2  |-  ( ph  ->  ( ps  ->  ( ch  /\  ps ) ) )
32imp 122 1  |-  ( (
ph  /\  ps )  ->  ( ch  /\  ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 102
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem is referenced by:  imdistanri  435  f1elima  5515
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