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Theorem intnan 924
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 109 . 2  |-  ( ( ps  /\  ph )  ->  ph )
31, 2mto 657 1  |-  -.  ( ps  /\  ph )
Colors of variables: wff set class
Syntax hints:   -. wn 3    /\ wa 103
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia2 106  ax-in1 609  ax-in2 610
This theorem is referenced by:  bianfi  942  axnul  4114  fodjum  7122  nninfwlporlemd  7148  xrltnr  9736  nltmnf  9745  3lcm2e6woprm  12040  6lcm4e12  12041  subctctexmid  14034
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