Theorem bj-con2comi 37187

Description: Inference associated with bj-con2com 37186. Its associated inference is mt2 203. TODO: when in the main part, add to mt2 203 that it is the inference associated with bj-con2comi 37187. (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 37186	. 2 ⊢ (𝜑 → ((𝜓 → ¬ 𝜑) → ¬ 𝜓))
3	1, 2	ax-mp 5	1 ⊢ ((𝜓 → ¬ 𝜑) → ¬ 𝜓)

This proof depends on syntax axioms:  ¬ wn 3   → wi 4

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem is used by: (None)