Description: Conjunction form of e01 . (Contributed by Alan Sare, 11-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | e01an.1 | |- ph |
|
e01an.2 | |- (. ps ->. ch ). |
||
e01an.3 | |- ( ( ph /\ ch ) -> th ) |
||
Assertion | e01an | |- (. ps ->. th ). |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | e01an.1 | |- ph |
|
2 | e01an.2 | |- (. ps ->. ch ). |
|
3 | e01an.3 | |- ( ( ph /\ ch ) -> th ) |
|
4 | 3 | ex | |- ( ph -> ( ch -> th ) ) |
5 | 1 2 4 | e01 | |- (. ps ->. th ). |