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Theorem pm3.2im 599
Description: In classical logic, this is just a restatement of pm3.2 137. In intuitionistic logic, it still holds, but is weaker than pm3.2. (Contributed by Mario Carneiro, 12-May-2015.)
Assertion
Ref Expression
pm3.2im (𝜑 → (𝜓 → ¬ (𝜑 → ¬ 𝜓)))

Proof of Theorem pm3.2im
StepHypRef Expression
1 pm2.27 39 . 2 (𝜑 → ((𝜑 → ¬ 𝜓) → ¬ 𝜓))
21con2d 587 1 (𝜑 → (𝜓 → ¬ (𝜑 → ¬ 𝜓)))
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-in1 577  ax-in2 578
This theorem is referenced by:  expi  600  jc  613  expt  616  imnan  657  dfandc  812
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