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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-lplanes | Structured version Visualization version Unicode version |
Description: Define the set of all
"lattice planes" (lattice elements which cover a
line) in a Hilbert lattice ![]() |
Ref | Expression |
---|---|
df-lplanes |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clpl 33102 |
. 2
![]() ![]() | |
2 | vk |
. . 3
![]() ![]() | |
3 | cvv 3057 |
. . 3
![]() ![]() | |
4 | vp |
. . . . . . 7
![]() ![]() | |
5 | 4 | cv 1454 |
. . . . . 6
![]() ![]() |
6 | vx |
. . . . . . 7
![]() ![]() | |
7 | 6 | cv 1454 |
. . . . . 6
![]() ![]() |
8 | 2 | cv 1454 |
. . . . . . 7
![]() ![]() |
9 | ccvr 32873 |
. . . . . . 7
![]() ![]() | |
10 | 8, 9 | cfv 5601 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
11 | 5, 7, 10 | wbr 4416 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
12 | clln 33101 |
. . . . . 6
![]() ![]() | |
13 | 8, 12 | cfv 5601 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
14 | 11, 4, 13 | wrex 2750 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
15 | cbs 15170 |
. . . . 5
![]() ![]() | |
16 | 8, 15 | cfv 5601 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() |
17 | 14, 6, 16 | crab 2753 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 2, 3, 17 | cmpt 4475 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 1, 18 | wceq 1455 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
This definition is referenced by: lplnset 33139 |
Copyright terms: Public domain | W3C validator |