Description: e10an without virtual deductions. sylancl is also e10an without virtual deductions, except the order of the hypotheses is different. (Contributed by Alan Sare, 25-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | ee10an.1 | |- ( ph -> ps ) |
|
ee10an.2 | |- ch |
||
ee10an.3 | |- ( ( ps /\ ch ) -> th ) |
||
Assertion | ee10an | |- ( ph -> th ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ee10an.1 | |- ( ph -> ps ) |
|
2 | ee10an.2 | |- ch |
|
3 | ee10an.3 | |- ( ( ps /\ ch ) -> th ) |
|
4 | 1 2 3 | sylancl | |- ( ph -> th ) |