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Theorem ancl 316
Description: Conjoin antecedent to left of consequent. (Contributed by NM, 15-Aug-1994.)
Assertion
Ref Expression
ancl  |-  ( (
ph  ->  ps )  -> 
( ph  ->  ( ph  /\ 
ps ) ) )

Proof of Theorem ancl
StepHypRef Expression
1 pm3.2 138 . 2  |-  ( ph  ->  ( ps  ->  ( ph  /\  ps ) ) )
21a2i 11 1  |-  ( (
ph  ->  ps )  -> 
( ph  ->  ( ph  /\ 
ps ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103
This theorem was proved from axioms:  ax-mp 5  ax-2 7  ax-ia3 107
This theorem is referenced by:  equs4  1688  eupickbi  2059
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