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Theorem atbiffatnnbalt 44377
Description: If a implies b, then a implies not not b. (Contributed by Jarvin Udandy, 29-Aug-2016.)
Assertion
Ref Expression
atbiffatnnbalt ((𝜑𝜓) → (𝜑 → ¬ ¬ 𝜓))

Proof of Theorem atbiffatnnbalt
StepHypRef Expression
1 atbiffatnnb 44375 1 ((𝜑𝜓) → (𝜑 → ¬ ¬ 𝜓))
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 depends on definitions:  df-bi 206
This theorem is referenced by: (None)
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