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