Description: An elimination deduction. (Contributed by Alan Sare, 4-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | eel0cT.1 | |- ph |
|
| eel0cT.2 | |- ( ph -> ps ) |
||
| Assertion | eel0cT | |- ( T. -> ps ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | eel0cT.1 | |- ph |
|
| 2 | eel0cT.2 | |- ( ph -> ps ) |
|
| 3 | 1 2 | ax-mp | |- ps |
| 4 | 3 | a1i | |- ( T. -> ps ) |