![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > df-bl | Unicode version |
Description: Define the metric space ball function. (Contributed by NM, 30-Aug-2006.) (Revised by Thierry Arnoux, 11-Feb-2018.) |
Ref | Expression |
---|---|
df-bl |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbl 13412 |
. 2
![]() ![]() | |
2 | vd |
. . 3
![]() ![]() | |
3 | cvv 2737 |
. . 3
![]() ![]() | |
4 | vx |
. . . 4
![]() ![]() | |
5 | vz |
. . . 4
![]() ![]() | |
6 | 2 | cv 1352 |
. . . . . 6
![]() ![]() |
7 | 6 | cdm 4626 |
. . . . 5
![]() ![]() ![]() |
8 | 7 | cdm 4626 |
. . . 4
![]() ![]() ![]() ![]() |
9 | cxr 7990 |
. . . 4
![]() ![]() | |
10 | 4 | cv 1352 |
. . . . . . 7
![]() ![]() |
11 | vy |
. . . . . . . 8
![]() ![]() | |
12 | 11 | cv 1352 |
. . . . . . 7
![]() ![]() |
13 | 10, 12, 6 | co 5874 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
14 | 5 | cv 1352 |
. . . . . 6
![]() ![]() |
15 | clt 7991 |
. . . . . 6
![]() ![]() | |
16 | 13, 14, 15 | wbr 4003 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 16, 11, 8 | crab 2459 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 4, 5, 8, 9, 17 | cmpo 5876 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 2, 3, 18 | cmpt 4064 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
20 | 1, 19 | wceq 1353 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: blfvalps 13855 |
Copyright terms: Public domain | W3C validator |