![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > df-ms | Unicode version |
Description: Define the (proper) class of metric spaces. (Contributed by NM, 27-Aug-2006.) |
Ref | Expression |
---|---|
df-ms |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cms 13470 |
. 2
![]() ![]() | |
2 | vf |
. . . . . . 7
![]() ![]() | |
3 | 2 | cv 1352 |
. . . . . 6
![]() ![]() |
4 | cds 12514 |
. . . . . 6
![]() ![]() | |
5 | 3, 4 | cfv 5211 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
6 | cbs 12432 |
. . . . . . 7
![]() ![]() | |
7 | 3, 6 | cfv 5211 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
8 | 7, 7 | cxp 4620 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 5, 8 | cres 4624 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | cmet 13114 |
. . . . 5
![]() ![]() | |
11 | 7, 10 | cfv 5211 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | 9, 11 | wcel 2148 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | cxms 13469 |
. . 3
![]() ![]() ![]() | |
14 | 12, 2, 13 | crab 2459 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | 1, 14 | wceq 1353 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: isms 13586 |
Copyright terms: Public domain | W3C validator |