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Axiom ax-in2 527
Description: 'Not' elimination. Axiom 5 of 10 for intuitionistic logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-in2 φ → (φψ))

Detailed syntax breakdown of Axiom ax-in2
StepHypRef Expression
1 wph . . 3 wff φ
21wn 3 . 2 wff ¬ φ
3 wps . . 3 wff ψ
41, 3wi 4 . 2 wff (φψ)
52, 4wi 4 1 wff φ → (φψ))
Colors of variables: wff set class
This axiom is referenced by:  pm2.21  529  con2d  535
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