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	⊢ ( ( 𝜑 → 𝜓 ) → 𝜒 )
	bj-jarrii.2	⊢ 𝜓
Assertion	bj-jarrii	⊢ 𝜒

Proof

Step	Hyp	Ref	Expression
1		bj-jarrii.1	⊢ ( ( 𝜑 → 𝜓 ) → 𝜒 )
2		bj-jarrii.2	⊢ 𝜓
3	2	a1i	⊢ ( 𝜑 → 𝜓 )
4	3 1	ax-mp	⊢ 𝜒