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Metamath Proof Explorer

Theorem impac

Description: Importation with conjunction in consequent. (Contributed by NM, 9-Aug-1994)

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

Step	Hyp	Ref	Expression
1		impac.1	$⊢ φ \to (ψ \to χ)$
2	1	ancrd	$⊢ φ \to (ψ \to (χ \land ψ))$
3	2	imp	$⊢ (φ \land ψ) \to (χ \land ψ)$