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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-lhyp | Structured version Visualization version Unicode version |
Description: Define the set of lattice hyperplanes, which are all lattice elements covered by 1 (i.e. all co-atoms). We call them "hyperplanes" instead of "co-atoms" in analogy with projective geometry hyperplanes. (Contributed by NM, 11-May-2012.) |
Ref | Expression |
---|---|
df-lhyp |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clh 33594 |
. 2
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2 | vk |
. . 3
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3 | cvv 3057 |
. . 3
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4 | vx |
. . . . . 6
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5 | 4 | cv 1454 |
. . . . 5
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6 | 2 | cv 1454 |
. . . . . 6
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7 | cp1 16333 |
. . . . . 6
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8 | 6, 7 | cfv 5601 |
. . . . 5
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9 | ccvr 32873 |
. . . . . 6
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10 | 6, 9 | cfv 5601 |
. . . . 5
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11 | 5, 8, 10 | wbr 4416 |
. . . 4
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12 | cbs 15170 |
. . . . 5
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13 | 6, 12 | cfv 5601 |
. . . 4
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14 | 11, 4, 13 | crab 2753 |
. . 3
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15 | 2, 3, 14 | cmpt 4475 |
. 2
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16 | 1, 15 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: lhpset 33605 |
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