Description: Meta-connective form of syl8 . (Contributed by Alan Sare, 15-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | e3.1 | |- (. ph ,. ps ,. ch ->. th ). |
|
e3.2 | |- ( th -> ta ) |
||
Assertion | e3 | |- (. ph ,. ps ,. ch ->. ta ). |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | e3.1 | |- (. ph ,. ps ,. ch ->. th ). |
|
2 | e3.2 | |- ( th -> ta ) |
|
3 | 2 | a1i | |- ( th -> ( th -> ta ) ) |
4 | 1 1 3 | e33 | |- (. ph ,. ps ,. ch ->. ta ). |