![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > df-gid | Structured version Visualization version Unicode version |
Description: Define a function that maps a group operation to the group's identity element. (Contributed by FL, 5-Feb-2010.) (Revised by Mario Carneiro, 15-Dec-2013.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-gid |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cgi 25963 |
. 2
![]() | |
2 | vg |
. . 3
![]() ![]() | |
3 | cvv 3056 |
. . 3
![]() ![]() | |
4 | vu |
. . . . . . . . 9
![]() ![]() | |
5 | 4 | cv 1453 |
. . . . . . . 8
![]() ![]() |
6 | vx |
. . . . . . . . 9
![]() ![]() | |
7 | 6 | cv 1453 |
. . . . . . . 8
![]() ![]() |
8 | 2 | cv 1453 |
. . . . . . . 8
![]() ![]() |
9 | 5, 7, 8 | co 6314 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() |
10 | 9, 7 | wceq 1454 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
11 | 7, 5, 8 | co 6314 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() |
12 | 11, 7 | wceq 1454 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 10, 12 | wa 375 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 8 | crn 4853 |
. . . . 5
![]() ![]() ![]() |
15 | 13, 6, 14 | wral 2748 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 15, 4, 14 | crio 6275 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 2, 3, 16 | cmpt 4474 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 1, 17 | wceq 1454 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: gidval 25989 fngid 25990 |
Copyright terms: Public domain | W3C validator |