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Mirrors > Home > MPE Home > Th. List > df-pgp | Structured version Visualization version Unicode version |
Description: Define the set of
p-groups, which are groups such that every element has
a power of ![]() |
Ref | Expression |
---|---|
df-pgp |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cpgp 17946 |
. 2
![]() | |
2 | vp |
. . . . . . 7
![]() ![]() | |
3 | 2 | cv 1482 |
. . . . . 6
![]() ![]() |
4 | cprime 15385 |
. . . . . 6
![]() ![]() | |
5 | 3, 4 | wcel 1990 |
. . . . 5
![]() ![]() ![]() ![]() |
6 | vg |
. . . . . . 7
![]() ![]() | |
7 | 6 | cv 1482 |
. . . . . 6
![]() ![]() |
8 | cgrp 17422 |
. . . . . 6
![]() ![]() | |
9 | 7, 8 | wcel 1990 |
. . . . 5
![]() ![]() ![]() ![]() |
10 | 5, 9 | wa 384 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | vx |
. . . . . . . . 9
![]() ![]() | |
12 | 11 | cv 1482 |
. . . . . . . 8
![]() ![]() |
13 | cod 17944 |
. . . . . . . . 9
![]() ![]() | |
14 | 7, 13 | cfv 5888 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() |
15 | 12, 14 | cfv 5888 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | vn |
. . . . . . . . 9
![]() ![]() | |
17 | 16 | cv 1482 |
. . . . . . . 8
![]() ![]() |
18 | cexp 12860 |
. . . . . . . 8
![]() ![]() | |
19 | 3, 17, 18 | co 6650 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() |
20 | 15, 19 | wceq 1483 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
21 | cn0 11292 |
. . . . . 6
![]() ![]() | |
22 | 20, 16, 21 | wrex 2913 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
23 | cbs 15857 |
. . . . . 6
![]() ![]() | |
24 | 7, 23 | cfv 5888 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
25 | 22, 11, 24 | wral 2912 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
26 | 10, 25 | wa 384 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
27 | 26, 2, 6 | copab 4712 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
28 | 1, 27 | wceq 1483 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: ispgp 18007 |
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