ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  jctr Unicode version

Theorem jctr 298
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 296 1  |-  ( ph  ->  ( ph  /\  ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 97
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 101
This theorem is referenced by:  mpanl2  411  mpanr2  414  bm1.1  2025  undifss  3303  brprcneu  5171  mpt2eq12  5565  tfri3  5953  ige2m2fzo  9054
  Copyright terms: Public domain W3C validator