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Axiom ax-in2 555
Description: 'Not' elimination. One of the axioms of propositional logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-in2  |-  ( -. 
ph  ->  ( ph  ->  ps ) )

Detailed syntax breakdown of Axiom ax-in2
StepHypRef Expression
1 wph . . 3  wff  ph
21wn 3 . 2  wff  -.  ph
3 wps . . 3  wff  ps
41, 3wi 4 . 2  wff  ( ph  ->  ps )
52, 4wi 4 1  wff  ( -. 
ph  ->  ( ph  ->  ps ) )
Colors of variables: wff set class
This axiom is referenced by:  pm2.21  557  con2d  564  condc  760  dcim  795  imorr  808  pm5.14dc  828  pm5.54dc  838  mon  1945  difin  3201  indifdir  3220  sosng  4440  iotanul  4909
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