Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > df-perf | Structured version Visualization version Unicode version |
Description: Define the class of all perfect spaces. A perfect space is one for which every point in the set is a limit point of the whole space. (Contributed by Mario Carneiro, 24-Dec-2016.) |
Ref | Expression |
---|---|
df-perf | Perf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cperf 20939 | . 2 Perf | |
2 | vj | . . . . . . 7 | |
3 | 2 | cv 1482 | . . . . . 6 |
4 | 3 | cuni 4436 | . . . . 5 |
5 | clp 20938 | . . . . . 6 | |
6 | 3, 5 | cfv 5888 | . . . . 5 |
7 | 4, 6 | cfv 5888 | . . . 4 |
8 | 7, 4 | wceq 1483 | . . 3 |
9 | ctop 20698 | . . 3 | |
10 | 8, 2, 9 | crab 2916 | . 2 |
11 | 1, 10 | wceq 1483 | 1 Perf |
Colors of variables: wff setvar class |
This definition is referenced by: isperf 20955 |
Copyright terms: Public domain | W3C validator |