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Theorem bj-nimni 32856
Description: Inference associated with bj-nimn 32855. (Contributed by BJ, 19-Mar-2020.)
Hypothesis
Ref Expression
bj-nimni.1 𝜑
Assertion
Ref Expression
bj-nimni ¬ (𝜑 → ¬ 𝜑)

Proof of Theorem bj-nimni
StepHypRef Expression
1 bj-nimni.1 . 2 𝜑
2 bj-nimn 32855 . 2 (𝜑 → ¬ (𝜑 → ¬ 𝜑))
31, 2ax-mp 5 1 ¬ (𝜑 → ¬ 𝜑)
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 is referenced by:  bj-bijust0  32865
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