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Mirrors > Home > ILE Home > Th. List > df-topn | Unicode version |
Description: Define the topology extractor function. This differs from df-tset 12412 when a structure has been restricted using df-ress 12339; in this case the TopSet component will still have a topology over the larger set, and this function fixes this by restricting the topology as well. (Contributed by Mario Carneiro, 13-Aug-2015.) |
Ref | Expression |
---|---|
df-topn | TopSet ↾t |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ctopn 12493 | . 2 | |
2 | vw | . . 3 | |
3 | cvv 2721 | . . 3 | |
4 | 2 | cv 1341 | . . . . 5 |
5 | cts 12399 | . . . . 5 TopSet | |
6 | 4, 5 | cfv 5182 | . . . 4 TopSet |
7 | cbs 12331 | . . . . 5 | |
8 | 4, 7 | cfv 5182 | . . . 4 |
9 | crest 12492 | . . . 4 ↾t | |
10 | 6, 8, 9 | co 5836 | . . 3 TopSet ↾t |
11 | 2, 3, 10 | cmpt 4037 | . 2 TopSet ↾t |
12 | 1, 11 | wceq 1342 | 1 TopSet ↾t |
Colors of variables: wff set class |
This definition is referenced by: topnfn 12497 topnvalg 12504 |
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