Theorem iden2

Description: Virtual deduction identity rule. simpr in conjunction form Virtual Deduction notation. (Contributed by Alan Sare, 5-Sep-2016) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	iden2	|- (. (. ph ,. ps ). ->. ps ).

Proof

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