Description: 3impib with the inner implication of the hypothesis a biconditional. (Contributed by Alan Sare, 6-Nov-2017)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | bi23impib.1 | |- ( ph -> ( ( ps /\ ch ) <-> th ) ) | |
| Assertion | bi23impib | |- ( ( ph /\ ps /\ ch ) -> th ) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | bi23impib.1 | |- ( ph -> ( ( ps /\ ch ) <-> th ) ) | |
| 2 | 1 | biimpd | |- ( ph -> ( ( ps /\ ch ) -> th ) ) | 
| 3 | 2 | 3impib | |- ( ( ph /\ ps /\ ch ) -> th ) |