Metamath Proof Explorer


Theorem bj-nimni

Description: Inference associated with bj-nimn . (Contributed by BJ, 19-Mar-2020)

Ref Expression
Hypothesis bj-nimni.1 𝜑
Assertion bj-nimni ¬ ( 𝜑 → ¬ 𝜑 )

Proof

Step Hyp Ref Expression
1 bj-nimni.1 𝜑
2 bj-nimn ( 𝜑 → ¬ ( 𝜑 → ¬ 𝜑 ) )
3 1 2 ax-mp ¬ ( 𝜑 → ¬ 𝜑 )