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Theorem ancri 322
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 304 1  |-  ( ph  ->  ( ps  /\  ph ) )
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-ia3 107
This theorem is referenced by:  bamalip  2121  gencbvex  2735  mosubt  2864  trsuc  4351  eusv2nf  4384  mosubopt  4611  issref  4928  fo00  5410  eqfnov2  5885  hashfzp1  10601  dfgcd2  11736
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