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Theorem pm3.4 563
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 462 . 2  |-  ( (
ph  /\  ps )  ->  ps )
21a1d 26 1  |-  ( (
ph  /\  ps )  ->  ( ph  ->  ps ) )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4    /\ wa 370
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 188  df-an 372
This theorem is referenced by:  cases2  980  sbequ1  2046  jabtaib  38232  confun4  38242  plvcofphax  38247  afvres  38385
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