Description: Definition of a 2-hypothesis virtual deduction. (Contributed by Alan Sare, 14-Nov-2011) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | df-vd2 | |- ( (. ph ,. ps ->. ch ). <-> ( ( ph /\ ps ) -> ch ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | wph | |- ph |
|
1 | wps | |- ps |
|
2 | wch | |- ch |
|
3 | 0 1 2 | wvd2 | |- (. ph ,. ps ->. ch ). |
4 | 0 1 | wa | |- ( ph /\ ps ) |
5 | 4 2 | wi | |- ( ( ph /\ ps ) -> ch ) |
6 | 3 5 | wb | |- ( (. ph ,. ps ->. ch ). <-> ( ( ph /\ ps ) -> ch ) ) |