Theorem dfvd3ani

Description: Inference form of dfvd3an . (Contributed by Alan Sare, 13-Jun-2015) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	dfvd3ani.1	$$⊢\left(\left(\phi ,\psi ,\chi \right)\to \theta \right)$$
Assertion	dfvd3ani	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$

Proof

Step	Hyp	Ref	Expression
1		dfvd3ani.1	$$⊢\left(\left(\phi ,\psi ,\chi \right)\to \theta \right)$$
2		dfvd3an	$$⊢\left(\left(\phi ,\psi ,\chi \right)\to \theta \right)\leftrightarrow \left(\left(\phi \wedge \psi \wedge \chi \right)\to \theta \right)$$
3	1 2	mpbi	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$