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Theorem jctr 308
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 306 1  |-  ( ph  ->  ( ph  /\  ps ) )
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:  mpanl2  426  mpanr2  429  bm1.1  2068  undifss  3339  brprcneu  5222  mpt2eq12  5616  tfri3  6036  ige2m2fzo  9336
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