Description: Version of pm3.2 for a triple conjunction. (Contributed by Alan Sare, 24-Oct-2011) (Proof shortened by Kyle Wyonch, 24-Apr-2021) (Proof shortened by Wolf Lammen, 21-Jun-2022)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | pm3.2an3 | |- ( ph -> ( ps -> ( ch -> ( ph /\ ps /\ ch ) ) ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | id | |- ( ( ph /\ ps /\ ch ) -> ( ph /\ ps /\ ch ) ) |
|
| 2 | 1 | 3exp | |- ( ph -> ( ps -> ( ch -> ( ph /\ ps /\ ch ) ) ) ) |