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Theorem pm3.4 331
Description: Conjunction implies implication. Theorem *3.4 of [WhiteheadRussell] p. 113. (Contributed by NM, 31-Jul-1995.)
Assertion
Ref Expression
pm3.4  |-  ( (
ph  /\  ps )  ->  ( ph  ->  ps ) )

Proof of Theorem pm3.4
StepHypRef Expression
1 simpr 109 . 2  |-  ( (
ph  /\  ps )  ->  ps )
21a1d 22 1  |-  ( (
ph  /\  ps )  ->  ( ph  ->  ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia2 106
This theorem is referenced by:  dcim  836  pclem6  1369  sbequ1  1761  sbequ8  1840  en2lp  4536
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