Description: el021old without virtual deductions. (Contributed by Alan Sare, 13-Jun-2015) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | eel021.1 | |- ph |
|
eel021.2 | |- ( ( ps /\ ch ) -> th ) |
||
eel021.3 | |- ( ( ph /\ th ) -> ta ) |
||
Assertion | eel021old | |- ( ( ps /\ ch ) -> ta ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eel021.1 | |- ph |
|
2 | eel021.2 | |- ( ( ps /\ ch ) -> th ) |
|
3 | eel021.3 | |- ( ( ph /\ th ) -> ta ) |
|
4 | 1 2 3 | sylancr | |- ( ( ps /\ ch ) -> ta ) |