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Theorem pm2.24ii 124
Description: A contradiction implies anything. Inference from pm2.24 101. (Contributed by NM, 27-Feb-2008.)
Hypotheses
Ref Expression
pm2.24ii.1  |-  ph
pm2.24ii.2  |-  -.  ph
Assertion
Ref Expression
pm2.24ii  |-  ps

Proof of Theorem pm2.24ii
StepHypRef Expression
1 pm2.24ii.1 . 2  |-  ph
2 pm2.24ii.2 . . 3  |-  -.  ph
32pm2.21i 123 . 2  |-  ( ph  ->  ps )
41, 3ax-mp 8 1  |-  ps
Colors of variables: wff set class
Syntax hints:   -. wn 3
This theorem is referenced by:  dtrucor2  4209  conimpfalt  27887
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
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