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Theorem ancri 317
Description: Deduction conjoining antecedent to right of consequent. (Contributed by NM, 15-Aug-1994.)
Hypothesis
Ref Expression
ancri.1  |-  ( ph  ->  ps )
Assertion
Ref Expression
ancri  |-  ( ph  ->  ( ps  /\  ph ) )

Proof of Theorem ancri
StepHypRef Expression
1 ancri.1 . 2  |-  ( ph  ->  ps )
2 id 19 . 2  |-  ( ph  ->  ph )
31, 2jca 300 1  |-  ( ph  ->  ( ps  /\  ph ) )
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-ia3 106
This theorem is referenced by:  bamalip  2063  gencbvex  2646  mosubt  2770  trsuc  4185  eusv2nf  4214  mosubopt  4431  issref  4737  fo00  5193  eqfnov2  5639  dfgcd2  10547
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