Theorem bj-nimni 31722

Description: Inference associated with bj-nimn 31721. (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

Step	Hyp	Ref	Expression
1		bj-nimni.1	. 2 ⊢ 𝜑
2		bj-nimn 31721	. 2 ⊢ (𝜑 → ¬ (𝜑 → ¬ 𝜑))
3	1, 2	ax-mp 5	1 ⊢ ¬ (𝜑 → ¬ 𝜑)

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  31731