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Mirrors > Home > ILE Home > Th. List > df-xms | Unicode version |
Description: Define the (proper) class of extended metric spaces. (Contributed by Mario Carneiro, 2-Sep-2015.) |
Ref | Expression |
---|---|
df-xms |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cxms 12505 | . 2 | |
2 | vf | . . . . . 6 | |
3 | 2 | cv 1330 | . . . . 5 |
4 | ctopn 12121 | . . . . 5 | |
5 | 3, 4 | cfv 5123 | . . . 4 |
6 | cds 12030 | . . . . . . 7 | |
7 | 3, 6 | cfv 5123 | . . . . . 6 |
8 | cbs 11959 | . . . . . . . 8 | |
9 | 3, 8 | cfv 5123 | . . . . . . 7 |
10 | 9, 9 | cxp 4537 | . . . . . 6 |
11 | 7, 10 | cres 4541 | . . . . 5 |
12 | cmopn 12154 | . . . . 5 | |
13 | 11, 12 | cfv 5123 | . . . 4 |
14 | 5, 13 | wceq 1331 | . . 3 |
15 | ctps 12197 | . . 3 | |
16 | 14, 2, 15 | crab 2420 | . 2 |
17 | 1, 16 | wceq 1331 | 1 |
Colors of variables: wff set class |
This definition is referenced by: isxms 12620 |
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