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Metamath Proof Explorer

Theorem impcom

Description: Importation inference with commuted antecedents. (Contributed by NM, 25-May-2005)

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

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