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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-pclN | Unicode version |
Description: Projective subspace
closure, which is the smallest projective subspace
containing an arbitrary set of atoms. The subspace closure of the union
of a set of projective subspaces is their supremum in ![]() ![]() |
Ref | Expression |
---|---|
df-pclN |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cpclN 30369 |
. 2
![]() ![]() | |
2 | vk |
. . 3
![]() ![]() | |
3 | cvv 2916 |
. . 3
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4 | vx |
. . . 4
![]() ![]() | |
5 | 2 | cv 1648 |
. . . . . 6
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6 | catm 29746 |
. . . . . 6
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7 | 5, 6 | cfv 5413 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() |
8 | 7 | cpw 3759 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() |
9 | 4 | cv 1648 |
. . . . . . 7
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10 | vy |
. . . . . . . 8
![]() ![]() | |
11 | 10 | cv 1648 |
. . . . . . 7
![]() ![]() |
12 | 9, 11 | wss 3280 |
. . . . . 6
![]() ![]() ![]() ![]() |
13 | cpsubsp 29978 |
. . . . . . 7
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14 | 5, 13 | cfv 5413 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
15 | 12, 10, 14 | crab 2670 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
16 | 15 | cint 4010 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | 4, 8, 16 | cmpt 4226 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
18 | 2, 3, 17 | cmpt 4226 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | 1, 18 | wceq 1649 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
This definition is referenced by: pclfvalN 30371 |
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