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Theorem intnanr 839
Description: Introduction of conjunct inside of a contradiction. (Contributed by NM, 3-Apr-1995.)
Hypothesis
Ref Expression
intnan.1  |-  -.  ph
Assertion
Ref Expression
intnanr  |-  -.  ( ph  /\  ps )

Proof of Theorem intnanr
StepHypRef Expression
1 intnan.1 . 2  |-  -.  ph
2 simpl 102 . 2  |-  ( (
ph  /\  ps )  ->  ph )
31, 2mto 588 1  |-  -.  ( ph  /\  ps )
Colors of variables: wff set class
Syntax hints:   -. wn 3    /\ wa 97
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-in1 544  ax-in2 545
This theorem is referenced by:  rab0  3246  co02  4834  frec0g  5983  xrltnr  8701  pnfnlt  8708  nltmnf  8709
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