Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 24-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | e001.1 | |- ph |
|
| e001.2 | |- ps |
||
| e001.3 | |- (. ch ->. th ). |
||
| e001.4 | |- ( ph -> ( ps -> ( th -> ta ) ) ) |
||
| Assertion | e001 | |- (. ch ->. ta ). |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | e001.1 | |- ph |
|
| 2 | e001.2 | |- ps |
|
| 3 | e001.3 | |- (. ch ->. th ). |
|
| 4 | e001.4 | |- ( ph -> ( ps -> ( th -> ta ) ) ) |
|
| 5 | 1 | vd01 | |- (. ch ->. ph ). |
| 6 | 2 | vd01 | |- (. ch ->. ps ). |
| 7 | 5 6 3 4 | e111 | |- (. ch ->. ta ). |