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Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-cmtN | Structured version Visualization version Unicode version |
Description: Define the commutes relation for orthoposets. Definition of commutes in [Kalmbach] p. 20. (Contributed by NM, 6-Nov-2011.) |
Ref | Expression |
---|---|
df-cmtN |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccmtN 32785 |
. 2
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2 | vp |
. . 3
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3 | cvv 3057 |
. . 3
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4 | vx |
. . . . . . 7
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5 | 4 | cv 1454 |
. . . . . 6
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6 | 2 | cv 1454 |
. . . . . . 7
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7 | cbs 15176 |
. . . . . . 7
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8 | 6, 7 | cfv 5605 |
. . . . . 6
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9 | 5, 8 | wcel 1898 |
. . . . 5
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10 | vy |
. . . . . . 7
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11 | 10 | cv 1454 |
. . . . . 6
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12 | 11, 8 | wcel 1898 |
. . . . 5
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13 | cmee 16245 |
. . . . . . . . 9
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14 | 6, 13 | cfv 5605 |
. . . . . . . 8
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15 | 5, 11, 14 | co 6320 |
. . . . . . 7
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16 | coc 15253 |
. . . . . . . . . 10
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17 | 6, 16 | cfv 5605 |
. . . . . . . . 9
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18 | 11, 17 | cfv 5605 |
. . . . . . . 8
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19 | 5, 18, 14 | co 6320 |
. . . . . . 7
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20 | cjn 16244 |
. . . . . . . 8
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21 | 6, 20 | cfv 5605 |
. . . . . . 7
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22 | 15, 19, 21 | co 6320 |
. . . . . 6
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23 | 5, 22 | wceq 1455 |
. . . . 5
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24 | 9, 12, 23 | w3a 991 |
. . . 4
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25 | 24, 4, 10 | copab 4476 |
. . 3
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26 | 2, 3, 25 | cmpt 4477 |
. 2
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27 | 1, 26 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: cmtfvalN 32822 |
Copyright terms: Public domain | W3C validator |