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Metamath Proof Explorer

Theorem impl

Description: Export a wff from a left conjunct. (Contributed by Mario Carneiro, 9-Jul-2014)

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

Step	Hyp	Ref	Expression
1		impl.1	$⊢ φ \to ((ψ \land χ) \to θ)$
2	1	expd	$⊢ φ \to (ψ \to (χ \to θ))$
3	2	imp31	$⊢ ((φ \land ψ) \land χ) \to θ$