![]() |
Mathbox for Norm Megill |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > Mathboxes > df-lcv | Structured version Visualization version Unicode version |
Description: Define the covering
relation for subspaces of a left vector space.
Similar to Definition 3.2.18 of [PtakPulmannova] p. 68.
Ptak/Pulmannova's notation ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
df-lcv |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clcv 32578 |
. 2
![]() ![]() | |
2 | vw |
. . 3
![]() ![]() | |
3 | cvv 3044 |
. . 3
![]() ![]() | |
4 | vt |
. . . . . . . 8
![]() ![]() | |
5 | 4 | cv 1442 |
. . . . . . 7
![]() ![]() |
6 | 2 | cv 1442 |
. . . . . . . 8
![]() ![]() |
7 | clss 18148 |
. . . . . . . 8
![]() ![]() | |
8 | 6, 7 | cfv 5581 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() |
9 | 5, 8 | wcel 1886 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
10 | vu |
. . . . . . . 8
![]() ![]() | |
11 | 10 | cv 1442 |
. . . . . . 7
![]() ![]() |
12 | 11, 8 | wcel 1886 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13 | 9, 12 | wa 371 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
14 | 5, 11 | wpss 3404 |
. . . . . 6
![]() ![]() ![]() ![]() |
15 | vs |
. . . . . . . . . . 11
![]() ![]() | |
16 | 15 | cv 1442 |
. . . . . . . . . 10
![]() ![]() |
17 | 5, 16 | wpss 3404 |
. . . . . . . . 9
![]() ![]() ![]() ![]() |
18 | 16, 11 | wpss 3404 |
. . . . . . . . 9
![]() ![]() ![]() ![]() |
19 | 17, 18 | wa 371 |
. . . . . . . 8
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
20 | 19, 15, 8 | wrex 2737 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
21 | 20 | wn 3 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
22 | 14, 21 | wa 371 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
23 | 13, 22 | wa 371 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
24 | 23, 4, 10 | copab 4459 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
25 | 2, 3, 24 | cmpt 4460 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
26 | 1, 25 | wceq 1443 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: lcvfbr 32580 |
Copyright terms: Public domain | W3C validator |