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Metamath Proof Explorer

Theorem biimpac

Description: Importation inference from a logical equivalence. (Contributed by NM, 3-May-1994)

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

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