Theorem jarri

Description: Inference associated with jarr . Partial converse of ja (the other partial converse being jarli ). (Contributed by Wolf Lammen, 20-Sep-2013)

	Ref	Expression
Hypothesis	jarri.1	⊢ ( ( 𝜑 → 𝜓 ) → 𝜒 )
Assertion	jarri	⊢ ( 𝜓 → 𝜒 )

Proof

Step	Hyp	Ref	Expression
1		jarri.1	⊢ ( ( 𝜑 → 𝜓 ) → 𝜒 )
2		ax-1	⊢ ( 𝜓 → ( 𝜑 → 𝜓 ) )
3	2 1	syl	⊢ ( 𝜓 → 𝜒 )