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Mirrors > Home > ILE Home > Th. List > df-nsg | Unicode version |
Description: Define the equivalence
relation in a quotient ring or quotient group
(where ![]() |
Ref | Expression |
---|---|
df-nsg |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnsg 12959 |
. 2
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2 | vw |
. . 3
![]() ![]() | |
3 | cgrp 12809 |
. . 3
![]() ![]() | |
4 | vx |
. . . . . . . . . . . 12
![]() ![]() | |
5 | 4 | cv 1352 |
. . . . . . . . . . 11
![]() ![]() |
6 | vy |
. . . . . . . . . . . 12
![]() ![]() | |
7 | 6 | cv 1352 |
. . . . . . . . . . 11
![]() ![]() |
8 | vp |
. . . . . . . . . . . 12
![]() ![]() | |
9 | 8 | cv 1352 |
. . . . . . . . . . 11
![]() ![]() |
10 | 5, 7, 9 | co 5872 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() ![]() ![]() |
11 | vs |
. . . . . . . . . . 11
![]() ![]() | |
12 | 11 | cv 1352 |
. . . . . . . . . 10
![]() ![]() |
13 | 10, 12 | wcel 2148 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 7, 5, 9 | co 5872 |
. . . . . . . . . 10
![]() ![]() ![]() ![]() ![]() ![]() |
15 | 14, 12 | wcel 2148 |
. . . . . . . . 9
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 13, 15 | wb 105 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | vb |
. . . . . . . . 9
![]() ![]() | |
18 | 17 | cv 1352 |
. . . . . . . 8
![]() ![]() |
19 | 16, 6, 18 | wral 2455 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
20 | 19, 4, 18 | wral 2455 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
21 | 2 | cv 1352 |
. . . . . . 7
![]() ![]() |
22 | cplusg 12528 |
. . . . . . 7
![]() ![]() | |
23 | 21, 22 | cfv 5215 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
24 | 20, 8, 23 | wsbc 2962 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
25 | cbs 12454 |
. . . . . 6
![]() ![]() | |
26 | 21, 25 | cfv 5215 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
27 | 24, 17, 26 | wsbc 2962 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
28 | csubg 12958 |
. . . . 5
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29 | 21, 28 | cfv 5215 |
. . . 4
![]() ![]() ![]() ![]() ![]() |
30 | 27, 11, 29 | crab 2459 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
31 | 2, 3, 30 | cmpt 4063 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
32 | 1, 31 | wceq 1353 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: isnsg 12993 |
Copyright terms: Public domain | W3C validator |