Description: 3impib with the outer implication of the hypothesis a biconditional. (Contributed by Alan Sare, 6-Nov-2017)
Ref | Expression | ||
---|---|---|---|
Hypothesis | bi13impib.1 | |- ( ph <-> ( ( ps /\ ch ) -> th ) ) |
|
Assertion | bi13impib | |- ( ( ph /\ ps /\ ch ) -> th ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bi13impib.1 | |- ( ph <-> ( ( ps /\ ch ) -> th ) ) |
|
2 | 1 | biimpi | |- ( ph -> ( ( ps /\ ch ) -> th ) ) |
3 | 2 | 3impib | |- ( ( ph /\ ps /\ ch ) -> th ) |