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Metamath Proof Explorer

Theorem biimpar

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

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

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