Theorem biimpac

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

	Ref	Expression
Hypothesis	biimpa.1	$$⊢\phi \to \left(\psi \leftrightarrow \chi \right)$$
Assertion	biimpac	$$⊢\left(\psi \wedge \phi \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		biimpa.1	$$⊢\phi \to \left(\psi \leftrightarrow \chi \right)$$
2	1	biimpcd	$$⊢\psi \to \left(\phi \to \chi \right)$$
3	2	imp	$$⊢\left(\psi \wedge \phi \right)\to \chi$$