Theorem ibar

Description: Introduction of antecedent as conjunct. (Contributed by NM, 5-Dec-1995)

	Ref	Expression
Assertion	ibar	$$⊢\phi \to \left(\psi \leftrightarrow \left(\phi \wedge \psi \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		iba	$$⊢\phi \to \left(\psi \leftrightarrow \left(\psi \wedge \phi \right)\right)$$
2	1	biancomd	$$⊢\phi \to \left(\psi \leftrightarrow \left(\phi \wedge \psi \right)\right)$$