![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > df-mopn | Unicode version |
Description: Define a function whose value is the family of open sets of a metric space. (Contributed by NM, 1-Sep-2006.) |
Ref | Expression |
---|---|
df-mopn |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmopn 13415 |
. 2
![]() ![]() | |
2 | vd |
. . 3
![]() ![]() | |
3 | cxmet 13410 |
. . . . 5
![]() ![]() ![]() | |
4 | 3 | crn 4627 |
. . . 4
![]() ![]() ![]() ![]() |
5 | 4 | cuni 3809 |
. . 3
![]() ![]() ![]() ![]() ![]() |
6 | 2 | cv 1352 |
. . . . . 6
![]() ![]() |
7 | cbl 13412 |
. . . . . 6
![]() ![]() | |
8 | 6, 7 | cfv 5216 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
9 | 8 | crn 4627 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | ctg 12702 |
. . . 4
![]() ![]() | |
11 | 9, 10 | cfv 5216 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 2, 5, 11 | cmpt 4064 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 1, 12 | wceq 1353 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: mopnrel 13911 mopnval 13912 isxms2 13922 |
Copyright terms: Public domain | W3C validator |