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Theorem pm2.24ii 586
Description: A contradiction implies anything. Inference from pm2.24 561. (Contributed by NM, 27-Feb-2008.)
Hypotheses
Ref Expression
pm2.24ii.1 𝜑
pm2.24ii.2 ¬ 𝜑
Assertion
Ref Expression
pm2.24ii 𝜓

Proof of Theorem pm2.24ii
StepHypRef Expression
1 pm2.24ii.1 . 2 𝜑
2 pm2.24ii.2 . . 3 ¬ 𝜑
32pm2.21i 585 . 2 (𝜑𝜓)
41, 3ax-mp 7 1 𝜓
Colors of variables: wff set class
Syntax hints:  ¬ wn 3
This theorem was proved from axioms:  ax-mp 7  ax-in2 555
This theorem is referenced by: (None)
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