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Theorem intnan 872
Description: Introduction of conjunct inside of a contradiction. (Contributed by NM, 16-Sep-1993.)
Hypothesis
Ref Expression
intnan.1  |-  -.  ph
Assertion
Ref Expression
intnan  |-  -.  ( ps  /\  ph )

Proof of Theorem intnan
StepHypRef Expression
1 intnan.1 . 2  |-  -.  ph
2 simpr 108 . 2  |-  ( ( ps  /\  ph )  ->  ph )
31, 2mto 621 1  |-  -.  ( ps  /\  ph )
Colors of variables: wff set class
Syntax hints:   -. wn 3    /\ wa 102
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia2 105  ax-in1 577  ax-in2 578
This theorem is referenced by:  bianfi  889  axnul  3911  xrltnr  8931  nltmnf  8939  3lcm2e6woprm  10612  6lcm4e12  10613
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