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Theorem ancl 529
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 pm3.2 434 . 2  |-  ( ph  ->  ( ps  ->  ( ph  /\  ps ) ) )
21a2i 12 1  |-  ( (
ph  ->  ps )  -> 
( ph  ->  ( ph  /\ 
ps ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 358
This theorem is referenced by:  equs4  1899  eupickbi  2209  bnj1118  29014  bnj1128  29020  bnj1145  29023  bnj1174  29033
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-an 360
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