Theorem bj-con2comi 34721

Description: Inference associated with bj-con2com 34720. Its associated inference is mt2 199. TODO: when in the main part, add to mt2 199 that it is the inference associated with bj-con2comi 34721. (Contributed by BJ, 19-Mar-2020.)

Hypothesis

Ref	Expression
bj-con2comi.1	⊢ 𝜑

Assertion

Ref	Expression
bj-con2comi	⊢ ((𝜓 → ¬ 𝜑) → ¬ 𝜓)

Proof of Theorem bj-con2comi

Step	Hyp	Ref	Expression
1		bj-con2comi.1	. 2 ⊢ 𝜑
2		bj-con2com 34720	. 2 ⊢ (𝜑 → ((𝜓 → ¬ 𝜑) → ¬ 𝜓))
3	1, 2	ax-mp 5	1 ⊢ ((𝜓 → ¬ 𝜑) → ¬ 𝜓)

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: (None)