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	|- (. (. ph ,. ps ). ->. ch ).
Assertion	dfvd2ani	|- ( ( ph /\ ps ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		dfvd2ani.1	|- (. (. ph ,. ps ). ->. ch ).
2		dfvd2an	|- ( (. (. ph ,. ps ). ->. ch ). <-> ( ( ph /\ ps ) -> ch ) )
3	1 2	mpbi	|- ( ( ph /\ ps ) -> ch )