Theorem bj-jarrii

Description: Inference associated with jarri . Contrary to it, it does not require ax-2 , but only ax-mp and ax-1 . (Contributed by BJ, 29-Mar-2020) (Proof modification is discouraged.)

	Ref	Expression
Hypotheses	bj-jarrii.1	$$⊢\left(\phi \to \psi \right)\to \chi$$
	bj-jarrii.2	$$⊢\psi$$
Assertion	bj-jarrii	$$⊢\chi$$

Proof

Step	Hyp	Ref	Expression
1		bj-jarrii.1	$$⊢\left(\phi \to \psi \right)\to \chi$$
2		bj-jarrii.2	$$⊢\psi$$
3	2	a1i	$$⊢\phi \to \psi$$
4	3 1	ax-mp	$$⊢\chi$$