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Theorem con5i 38555
Description: Inference form of con5 38554. (Contributed by Alan Sare, 21-Apr-2013.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
con5i.1 (𝜑 ↔ ¬ 𝜓)
Assertion
Ref Expression
con5i 𝜑𝜓)

Proof of Theorem con5i
StepHypRef Expression
1 con5i.1 . 2 (𝜑 ↔ ¬ 𝜓)
2 con5 38554 . 2 ((𝜑 ↔ ¬ 𝜓) → (¬ 𝜑𝜓))
31, 2ax-mp 5 1 𝜑𝜓)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wb 196
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 197
This theorem is referenced by:  vk15.4j  38560  vk15.4jVD  38976
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