Description: A virtual deduction elimination rule. The non-virtual deduction form of e000 is the virtual deduction form. (Contributed by Alan Sare, 14-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | e000.1 | |- ph |
|
| e000.2 | |- ps |
||
| e000.3 | |- ch |
||
| e000.4 | |- ( ph -> ( ps -> ( ch -> th ) ) ) |
||
| Assertion | e000 | |- th |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | e000.1 | |- ph |
|
| 2 | e000.2 | |- ps |
|
| 3 | e000.3 | |- ch |
|
| 4 | e000.4 | |- ( ph -> ( ps -> ( ch -> th ) ) ) |
|
| 5 | 1 2 4 | mp2 | |- ( ch -> th ) |
| 6 | 3 5 | ax-mp | |- th |