Description: e011 without virtual deductions. (Contributed by Alan Sare, 25-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypotheses | ee011.1 | |- ph |
|
| ee011.2 | |- ( ps -> ch ) |
||
| ee011.3 | |- ( ps -> th ) |
||
| ee011.4 | |- ( ph -> ( ch -> ( th -> ta ) ) ) |
||
| Assertion | ee011 | |- ( ps -> ta ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ee011.1 | |- ph |
|
| 2 | ee011.2 | |- ( ps -> ch ) |
|
| 3 | ee011.3 | |- ( ps -> th ) |
|
| 4 | ee011.4 | |- ( ph -> ( ch -> ( th -> ta ) ) ) |
|
| 5 | 1 | a1i | |- ( ps -> ph ) |
| 6 | 5 2 3 4 | syl3c | |- ( ps -> ta ) |