Theorem bj-con2comi

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

	Ref	Expression
Hypothesis	bj-con2comi.1	$$⊢\phi$$
Assertion	bj-con2comi	$$⊢\left(\psi \to \neg \phi \right)\to \neg \psi$$

Proof

Step	Hyp	Ref	Expression
1		bj-con2comi.1	$$⊢\phi$$
2		bj-con2com	$$⊢\phi \to \left(\left(\psi \to \neg \phi \right)\to \neg \psi \right)$$
3	1 2	ax-mp	$$⊢\left(\psi \to \neg \phi \right)\to \neg \psi$$