Description: A nested modus ponens inference. Copy of mpi with a different proof. (Contributed by Wolf Lammen, 17-Dec-2018) (New usage is discouraged.) (Proof modification is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | wl-luk-mpi.1 | |- ps |
|
| wl-luk-mpi.2 | |- ( ph -> ( ps -> ch ) ) |
||
| Assertion | wl-luk-mpi | |- ( ph -> ch ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wl-luk-mpi.1 | |- ps |
|
| 2 | wl-luk-mpi.2 | |- ( ph -> ( ps -> ch ) ) |
|
| 3 | 1 | wl-luk-a1i | |- ( -. ch -> ps ) |
| 4 | 3 2 | wl-luk-imtrid | |- ( ph -> ( -. ch -> ch ) ) |
| 5 | 4 | wl-luk-pm2.18d | |- ( ph -> ch ) |