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Metamath Proof Explorer

Theorem impd

Description: Importation deduction. (Contributed by NM, 31-Mar-1994)

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

Step	Hyp	Ref	Expression
1		impd.1	$⊢ φ \to (ψ \to (χ \to θ))$
2	1	com3l	$⊢ ψ \to (χ \to (φ \to θ))$
3	2	imp	$⊢ (ψ \land χ) \to (φ \to θ)$
4	3	com12	$⊢ φ \to ((ψ \land χ) \to θ)$