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Theorem intnanr 916
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 108 . 2 ((𝜑𝜓) → 𝜑)
31, 2mto 652 1 ¬ (𝜑𝜓)
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-ia1 105  ax-in1 604  ax-in2 605
This theorem is referenced by:  rab0  3392  co02  5056  frec0g  6298  djulclb  6944  xrltnr  9592  pnfnlt  9599  nltmnf  9600
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