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Metamath Proof Explorer

Theorem impr

Description: Import a wff into a right conjunct. (Contributed by Jeff Hankins, 30-Aug-2009)

		Ref	Expression
	Hypothesis	impr.1	$⊢ (φ \land ψ) \to (χ \to θ)$
	Assertion	impr	$⊢ (φ \land (ψ \land χ)) \to θ$

Step	Hyp	Ref	Expression
1		impr.1	$⊢ (φ \land ψ) \to (χ \to θ)$
2	1	ex	$⊢ φ \to (ψ \to (χ \to θ))$
3	2	imp32	$⊢ (φ \land (ψ \land χ)) \to θ$