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Theorem pm2.65ni 39210
Description: Inference rule for proof by contradiction. (Contributed by Glauco Siliprandi, 5-Apr-2020.)
Hypotheses
Ref Expression
pm2.65ni.1  |-  ( -. 
ph  ->  ps )
pm2.65ni.2  |-  ( -. 
ph  ->  -.  ps )
Assertion
Ref Expression
pm2.65ni  |-  ph

Proof of Theorem pm2.65ni
StepHypRef Expression
1 pm2.65ni.1 . . 3  |-  ( -. 
ph  ->  ps )
2 pm2.65ni.2 . . 3  |-  ( -. 
ph  ->  -.  ps )
31, 2pm2.65i 185 . 2  |-  -.  -.  ph
43notnotri 126 1  |-  ph
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem is referenced by: (None)
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