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Theorem intnanr 877
Description: Introduction of conjunct inside of a contradiction. (Contributed by NM, 3-Apr-1995.)
Hypothesis
Ref Expression
intnan.1 ¬ 𝜑
Assertion
Ref Expression
intnanr ¬ (𝜑𝜓)

Proof of Theorem intnanr
StepHypRef Expression
1 intnan.1 . 2 ¬ 𝜑
2 simpl 107 . 2 ((𝜑𝜓) → 𝜑)
31, 2mto 623 1 ¬ (𝜑𝜓)
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-ia1 104  ax-in1 579  ax-in2 580
This theorem is referenced by:  rab0  3309  co02  4931  frec0g  6144  djulclb  6726  xrltnr  9219  pnfnlt  9226  nltmnf  9227
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