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Mirrors > Home > ILE Home > Th. List > df-eqg | Unicode version |
Description: Define the equivalence
relation in a group generated by a subgroup.
More precisely, if ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-eqg |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cqg 12960 |
. 2
![]() | |
2 | vr |
. . 3
![]() ![]() | |
3 | vi |
. . 3
![]() ![]() | |
4 | cvv 2737 |
. . 3
![]() ![]() | |
5 | vx |
. . . . . . . 8
![]() ![]() | |
6 | 5 | cv 1352 |
. . . . . . 7
![]() ![]() |
7 | vy |
. . . . . . . 8
![]() ![]() | |
8 | 7 | cv 1352 |
. . . . . . 7
![]() ![]() |
9 | 6, 8 | cpr 3593 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
10 | 2 | cv 1352 |
. . . . . . 7
![]() ![]() |
11 | cbs 12454 |
. . . . . . 7
![]() ![]() | |
12 | 10, 11 | cfv 5215 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
13 | 9, 12 | wss 3129 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | cminusg 12810 |
. . . . . . . . 9
![]() ![]() ![]() | |
15 | 10, 14 | cfv 5215 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 6, 15 | cfv 5215 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | cplusg 12528 |
. . . . . . . 8
![]() ![]() | |
18 | 10, 17 | cfv 5215 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() |
19 | 16, 8, 18 | co 5872 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
20 | 3 | cv 1352 |
. . . . . 6
![]() ![]() |
21 | 19, 20 | wcel 2148 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
22 | 13, 21 | wa 104 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
23 | 22, 5, 7 | copab 4062 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
24 | 2, 3, 4, 4, 23 | cmpo 5874 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
25 | 1, 24 | wceq 1353 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: releqgg 13011 eqgfval 13012 |
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