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	$$⊢\left(\phi \to \psi \right)\to \chi$$
Assertion	jarri	$$⊢\psi \to \chi$$

Proof

Step	Hyp	Ref	Expression
1		jarri.1	$$⊢\left(\phi \to \psi \right)\to \chi$$
2		ax-1	$$⊢\psi \to \left(\phi \to \psi \right)$$
3	2 1	syl	$$⊢\psi \to \chi$$