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Theorem jctr 313
Description: Inference conjoining a theorem to the right of a consequent. (Contributed by NM, 18-Aug-1993.) (Proof shortened by Wolf Lammen, 24-Oct-2012.)
Hypothesis
Ref Expression
jctl.1  |-  ps
Assertion
Ref Expression
jctr  |-  ( ph  ->  ( ph  /\  ps ) )

Proof of Theorem jctr
StepHypRef Expression
1 id 19 . 2  |-  ( ph  ->  ph )
2 jctl.1 . 2  |-  ps
31, 2jctir 311 1  |-  ( 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-1 6  ax-2 7  ax-ia3 107
This theorem is referenced by:  mpanl2  432  mpanr2  435  bm1.1  2125  undifss  3444  brprcneu  5418  mpoeq12  5835  tfri3  6268  ige2m2fzo  10002
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