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Mirrors > Home > MPE Home > Th. List > df-xms | Structured version Visualization version Unicode version |
Description: Define the (proper) class of all extended metric spaces. (Contributed by Mario Carneiro, 2-Sep-2015.) |
Ref | Expression |
---|---|
df-xms |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cxme 22122 | . 2 | |
2 | vf | . . . . . 6 | |
3 | 2 | cv 1482 | . . . . 5 |
4 | ctopn 16082 | . . . . 5 | |
5 | 3, 4 | cfv 5888 | . . . 4 |
6 | cds 15950 | . . . . . . 7 | |
7 | 3, 6 | cfv 5888 | . . . . . 6 |
8 | cbs 15857 | . . . . . . . 8 | |
9 | 3, 8 | cfv 5888 | . . . . . . 7 |
10 | 9, 9 | cxp 5112 | . . . . . 6 |
11 | 7, 10 | cres 5116 | . . . . 5 |
12 | cmopn 19736 | . . . . 5 | |
13 | 11, 12 | cfv 5888 | . . . 4 |
14 | 5, 13 | wceq 1483 | . . 3 |
15 | ctps 20736 | . . 3 | |
16 | 14, 2, 15 | crab 2916 | . 2 |
17 | 1, 16 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: isxms 22252 |
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