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Metamath Proof Explorer

Theorem expl

Description: Export a wff from a left conjunct. (Contributed by Jeff Hankins, 28-Aug-2009)

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

Step	Hyp	Ref	Expression
1		expl.1	$⊢ ((φ \land ψ) \land χ) \to θ$
2	1	exp31	$⊢ φ \to (ψ \to (χ \to θ))$
3	2	impd	$⊢ φ \to ((ψ \land χ) \to θ)$