Description: e001 without virtual deductions. (Contributed by Alan Sare, 23-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | ee001.1 | |- ph |
|
| ee001.2 | |- ps |
||
| ee001.3 | |- ( ch -> th ) |
||
| ee001.4 | |- ( ph -> ( ps -> ( th -> ta ) ) ) |
||
| Assertion | ee001 | |- ( ch -> ta ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ee001.1 | |- ph |
|
| 2 | ee001.2 | |- ps |
|
| 3 | ee001.3 | |- ( ch -> th ) |
|
| 4 | ee001.4 | |- ( ph -> ( ps -> ( th -> ta ) ) ) |
|
| 5 | 1 | a1i | |- ( ch -> ph ) |
| 6 | 2 | a1i | |- ( ch -> ps ) |
| 7 | 5 6 3 4 | syl3c | |- ( ch -> ta ) |