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Metamath Proof Explorer

Theorem 3expib

Description: Exportation from triple conjunction. (Contributed by NM, 19-May-2007)

		Ref	Expression
	Hypothesis	3exp.1	$⊢ (φ \land ψ \land χ) \to θ$
	Assertion	3expib	$⊢ φ \to ((ψ \land χ) \to θ)$

Step	Hyp	Ref	Expression
1		3exp.1	$⊢ (φ \land ψ \land χ) \to θ$
2	1	3exp	$⊢ φ \to (ψ \to (χ \to θ))$
3	2	impd	$⊢ φ \to ((ψ \land χ) \to θ)$