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Theorem jctird 310
Description: Deduction conjoining a theorem to right of consequent in an implication. (Contributed by NM, 21-Apr-2005.)
Hypotheses
Ref Expression
jctird.1  |-  ( ph  ->  ( ps  ->  ch ) )
jctird.2  |-  ( ph  ->  th )
Assertion
Ref Expression
jctird  |-  ( ph  ->  ( ps  ->  ( ch  /\  th ) ) )

Proof of Theorem jctird
StepHypRef Expression
1 jctird.1 . 2  |-  ( ph  ->  ( ps  ->  ch ) )
2 jctird.2 . . 3  |-  ( ph  ->  th )
32a1d 22 . 2  |-  ( ph  ->  ( ps  ->  th )
)
41, 3jcad 301 1  |-  ( ph  ->  ( ps  ->  ( ch  /\  th ) ) )
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:  anc2ri  323  ordunisuc2r  4286  fnun  5056  fco  5107  cauappcvgprlemladdru  6960  cauappcvgprlemladdrl  6961  caucvgprlemnkj  6970  dvdsdivcl  10458
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