Description: An algebraic closure system is also a Moore system. Deduction form of acsmre . (Contributed by David Moews, 1-May-2017)
Ref | Expression | ||
---|---|---|---|
Hypothesis | acsmred.1 | |- ( ph -> A e. ( ACS ` X ) ) |
|
Assertion | acsmred | |- ( ph -> A e. ( Moore ` X ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | acsmred.1 | |- ( ph -> A e. ( ACS ` X ) ) |
|
2 | acsmre | |- ( A e. ( ACS ` X ) -> A e. ( Moore ` X ) ) |
|
3 | 1 2 | syl | |- ( ph -> A e. ( Moore ` X ) ) |