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Mirrors > Home > MPE Home > Th. List > df-xps | Structured version Visualization version Unicode version |
Description: Define a binary product on structures. (Contributed by Mario Carneiro, 14-Aug-2015.) |
Ref | Expression |
---|---|
df-xps |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cxps 15405 |
. 2
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2 | vr |
. . 3
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3 | vs |
. . 3
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4 | cvv 3045 |
. . 3
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5 | vx |
. . . . . 6
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6 | vy |
. . . . . 6
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7 | 2 | cv 1443 |
. . . . . . 7
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8 | cbs 15121 |
. . . . . . 7
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9 | 7, 8 | cfv 5582 |
. . . . . 6
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10 | 3 | cv 1443 |
. . . . . . 7
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11 | 10, 8 | cfv 5582 |
. . . . . 6
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12 | 5 | cv 1443 |
. . . . . . . . 9
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13 | 12 | csn 3968 |
. . . . . . . 8
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14 | 6 | cv 1443 |
. . . . . . . . 9
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15 | 14 | csn 3968 |
. . . . . . . 8
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16 | ccda 8597 |
. . . . . . . 8
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17 | 13, 15, 16 | co 6290 |
. . . . . . 7
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18 | 17 | ccnv 4833 |
. . . . . 6
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19 | 5, 6, 9, 11, 18 | cmpt2 6292 |
. . . . 5
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20 | 19 | ccnv 4833 |
. . . 4
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21 | csca 15193 |
. . . . . 6
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22 | 7, 21 | cfv 5582 |
. . . . 5
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23 | 7 | csn 3968 |
. . . . . . 7
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24 | 10 | csn 3968 |
. . . . . . 7
![]() ![]() ![]() ![]() |
25 | 23, 24, 16 | co 6290 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
26 | 25 | ccnv 4833 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
27 | cprds 15344 |
. . . . 5
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28 | 22, 26, 27 | co 6290 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
29 | cimas 15402 |
. . . 4
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30 | 20, 28, 29 | co 6290 |
. . 3
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31 | 2, 3, 4, 4, 30 | cmpt2 6292 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
32 | 1, 31 | wceq 1444 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: xpsval 15478 |
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