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	|- (. (. ph ,. ps ,. ch ). ->. th ).
Assertion	dfvd3ani	|- ( ( ph /\ ps /\ ch ) -> th )

Proof

Step	Hyp	Ref	Expression
1		dfvd3ani.1	|- (. (. ph ,. ps ,. ch ). ->. th ).
2		dfvd3an	|- ( (. (. ph ,. ps ,. ch ). ->. th ). <-> ( ( ph /\ ps /\ ch ) -> th ) )
3	1 2	mpbi	|- ( ( ph /\ ps /\ ch ) -> th )