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Metamath Proof Explorer

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	$⊢ (φ \to ψ) \to χ$
	Assertion	jarri	$⊢ ψ \to χ$

Proof

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