Description: Lemma for restclssep . (Contributed by Zhi Wang, 2-Sep-2024)
Ref | Expression | ||
---|---|---|---|
Hypotheses | restcls2.1 | |
|
restcls2.2 | |
||
restcls2.3 | |
||
restcls2.4 | |
||
restcls2.5 | |
||
restclsseplem.6 | |
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restclsseplem.7 | |
||
Assertion | restclsseplem | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | restcls2.1 | |
|
2 | restcls2.2 | |
|
3 | restcls2.3 | |
|
4 | restcls2.4 | |
|
5 | restcls2.5 | |
|
6 | restclsseplem.6 | |
|
7 | restclsseplem.7 | |
|
8 | 1 2 3 4 5 | restcls2 | |
9 | 8 | ineq1d | |
10 | inass | |
|
11 | 9 10 | eqtrdi | |
12 | sseqin2 | |
|
13 | 7 12 | sylib | |
14 | 13 | ineq2d | |
15 | 11 6 14 | 3eqtr3rd | |