Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005)
Ref | Expression | ||
---|---|---|---|
Hypothesis | 3simp1i.1 | |- ( ph /\ ps /\ ch ) |
|
Assertion | simp1i | |- ph |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simp1i.1 | |- ( ph /\ ps /\ ch ) |
|
2 | simp1 | |- ( ( ph /\ ps /\ ch ) -> ph ) |
|
3 | 1 2 | ax-mp | |- ph |