Theorem dfvd2ani

Description: Inference form of dfvd2an . (Contributed by Alan Sare, 23-Apr-2015) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	dfvd2ani.1	$$⊢\left(\left(\phi ,\psi \right)\to \chi \right)$$
Assertion	dfvd2ani	$$⊢\left(\phi \wedge \psi \right)\to \chi$$

Proof

Step	Hyp	Ref	Expression
1		dfvd2ani.1	$$⊢\left(\left(\phi ,\psi \right)\to \chi \right)$$
2		dfvd2an	$$⊢\left(\left(\phi ,\psi \right)\to \chi \right)\leftrightarrow \left(\left(\phi \wedge \psi \right)\to \chi \right)$$
3	1 2	mpbi	$$⊢\left(\phi \wedge \psi \right)\to \chi$$