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Mirrors > Home > MPE Home > Th. List > df-gex | Structured version Visualization version Unicode version |
Description: Define the exponent of a group. (Contributed by Mario Carneiro, 13-Jul-2014.) (Revised by Stefan O'Rear, 4-Sep-2015.) (Revised by AV, 26-Sep-2020.) |
Ref | Expression |
---|---|
df-gex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cgex 17945 |
. 2
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2 | vg |
. . 3
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3 | cvv 3200 |
. . 3
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4 | vi |
. . . 4
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5 | vn |
. . . . . . . . 9
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6 | 5 | cv 1482 |
. . . . . . . 8
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7 | vx |
. . . . . . . . 9
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8 | 7 | cv 1482 |
. . . . . . . 8
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9 | 2 | cv 1482 |
. . . . . . . . 9
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10 | cmg 17540 |
. . . . . . . . 9
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11 | 9, 10 | cfv 5888 |
. . . . . . . 8
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12 | 6, 8, 11 | co 6650 |
. . . . . . 7
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13 | c0g 16100 |
. . . . . . . 8
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14 | 9, 13 | cfv 5888 |
. . . . . . 7
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15 | 12, 14 | wceq 1483 |
. . . . . 6
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16 | cbs 15857 |
. . . . . . 7
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17 | 9, 16 | cfv 5888 |
. . . . . 6
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18 | 15, 7, 17 | wral 2912 |
. . . . 5
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19 | cn 11020 |
. . . . 5
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20 | 18, 5, 19 | crab 2916 |
. . . 4
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21 | 4 | cv 1482 |
. . . . . 6
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22 | c0 3915 |
. . . . . 6
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23 | 21, 22 | wceq 1483 |
. . . . 5
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24 | cc0 9936 |
. . . . 5
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25 | cr 9935 |
. . . . . 6
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26 | clt 10074 |
. . . . . 6
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27 | 21, 25, 26 | cinf 8347 |
. . . . 5
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28 | 23, 24, 27 | cif 4086 |
. . . 4
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29 | 4, 20, 28 | csb 3533 |
. . 3
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30 | 2, 3, 29 | cmpt 4729 |
. 2
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31 | 1, 30 | wceq 1483 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: gexval 17993 |
Copyright terms: Public domain | W3C validator |