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Theorem pm2.24ii 575
Description: A contradiction implies anything. Inference from pm2.24 551. (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 574 . 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 545
This theorem is referenced by: (None)
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