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Mirrors > Home > MPE Home > Th. List > df-toset | Structured version Unicode version |
Description: Define the class of totally ordered sets (tosets). (Contributed by FL, 17-Nov-2014.) |
Ref | Expression |
---|---|
df-toset |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ctos 15307 |
. 2
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2 | vx |
. . . . . . . . . 10
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3 | 2 | cv 1369 |
. . . . . . . . 9
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4 | vy |
. . . . . . . . . 10
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5 | 4 | cv 1369 |
. . . . . . . . 9
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6 | vr |
. . . . . . . . . 10
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7 | 6 | cv 1369 |
. . . . . . . . 9
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8 | 3, 5, 7 | wbr 4392 |
. . . . . . . 8
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9 | 5, 3, 7 | wbr 4392 |
. . . . . . . 8
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10 | 8, 9 | wo 368 |
. . . . . . 7
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11 | vb |
. . . . . . . 8
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12 | 11 | cv 1369 |
. . . . . . 7
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13 | 10, 4, 12 | wral 2795 |
. . . . . 6
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14 | 13, 2, 12 | wral 2795 |
. . . . 5
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15 | vf |
. . . . . . 7
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16 | 15 | cv 1369 |
. . . . . 6
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17 | cple 14349 |
. . . . . 6
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18 | 16, 17 | cfv 5518 |
. . . . 5
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19 | 14, 6, 18 | wsbc 3286 |
. . . 4
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20 | cbs 14278 |
. . . . 5
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21 | 16, 20 | cfv 5518 |
. . . 4
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22 | 19, 11, 21 | wsbc 3286 |
. . 3
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23 | cpo 15214 |
. . 3
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24 | 22, 15, 23 | crab 2799 |
. 2
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25 | 1, 24 | wceq 1370 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: istos 15309 |
Copyright terms: Public domain | W3C validator |