Description: Moore closure preserves subset ordering. Deduction form of mrcss . (Contributed by David Moews, 1-May-2017)
Ref | Expression | ||
---|---|---|---|
Hypotheses | mrcssd.1 | |
|
mrcssd.2 | |
||
mrcssd.3 | |
||
mrcssd.4 | |
||
Assertion | mrcssd | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mrcssd.1 | |
|
2 | mrcssd.2 | |
|
3 | mrcssd.3 | |
|
4 | mrcssd.4 | |
|
5 | 2 | mrcss | |
6 | 1 3 4 5 | syl3anc | |