Theorem simplbi2comt

Description: Closed form of simplbi2com . (Contributed by Alan Sare, 22-Jul-2012)

	Ref	Expression
Assertion	simplbi2comt	$$⊢\left(\phi \leftrightarrow \left(\psi \wedge \chi \right)\right)\to \left(\chi \to \left(\psi \to \phi \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		biimpr	$$⊢\left(\phi \leftrightarrow \left(\psi \wedge \chi \right)\right)\to \left(\left(\psi \wedge \chi \right)\to \phi \right)$$
2	1	expcomd	$$⊢\left(\phi \leftrightarrow \left(\psi \wedge \chi \right)\right)\to \left(\chi \to \left(\psi \to \phi \right)\right)$$