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Mirrors > Home > MPE Home > Th. List > df-mvr | Structured version Visualization version Unicode version |
Description: Define the generating elements of the power series algebra. (Contributed by Mario Carneiro, 7-Jan-2015.) |
Ref | Expression |
---|---|
df-mvr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmvr 18625 |
. 2
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2 | vi |
. . 3
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3 | vr |
. . 3
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4 | cvv 3057 |
. . 3
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5 | vx |
. . . 4
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6 | 2 | cv 1454 |
. . . 4
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7 | vf |
. . . . 5
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8 | vh |
. . . . . . . . . 10
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9 | 8 | cv 1454 |
. . . . . . . . 9
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10 | 9 | ccnv 4852 |
. . . . . . . 8
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11 | cn 10637 |
. . . . . . . 8
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12 | 10, 11 | cima 4856 |
. . . . . . 7
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13 | cfn 7595 |
. . . . . . 7
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14 | 12, 13 | wcel 1898 |
. . . . . 6
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15 | cn0 10898 |
. . . . . . 7
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16 | cmap 7498 |
. . . . . . 7
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17 | 15, 6, 16 | co 6315 |
. . . . . 6
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18 | 14, 8, 17 | crab 2753 |
. . . . 5
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19 | 7 | cv 1454 |
. . . . . . 7
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20 | vy |
. . . . . . . 8
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21 | 20, 5 | weq 1802 |
. . . . . . . . 9
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22 | c1 9566 |
. . . . . . . . 9
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23 | cc0 9565 |
. . . . . . . . 9
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24 | 21, 22, 23 | cif 3893 |
. . . . . . . 8
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25 | 20, 6, 24 | cmpt 4475 |
. . . . . . 7
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26 | 19, 25 | wceq 1455 |
. . . . . 6
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27 | 3 | cv 1454 |
. . . . . . 7
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28 | cur 17784 |
. . . . . . 7
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29 | 27, 28 | cfv 5601 |
. . . . . 6
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30 | c0g 15387 |
. . . . . . 7
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31 | 27, 30 | cfv 5601 |
. . . . . 6
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32 | 26, 29, 31 | cif 3893 |
. . . . 5
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33 | 7, 18, 32 | cmpt 4475 |
. . . 4
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34 | 5, 6, 33 | cmpt 4475 |
. . 3
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35 | 2, 3, 4, 4, 34 | cmpt2 6317 |
. 2
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36 | 1, 35 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: mvrfval 18693 vr1val 18834 |
Copyright terms: Public domain | W3C validator |