Theorem dfvd2anir

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

	Ref	Expression
Hypothesis	dfvd2anir.1	|- ( ( ph /\ ps ) -> ch )
Assertion	dfvd2anir	|- (. (. ph ,. ps ). ->. ch ).

Proof

Step	Hyp	Ref	Expression
1		dfvd2anir.1	|- ( ( ph /\ ps ) -> ch )
2		dfvd2an	|- ( (. (. ph ,. ps ). ->. ch ). <-> ( ( ph /\ ps ) -> ch ) )
3	1 2	mpbir	|- (. (. ph ,. ps ). ->. ch ).