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Mirrors > Home > MPE Home > Th. List > df-cnext | Structured version Visualization version Unicode version |
Description: Define the continuous extension of a given function. (Contributed by Thierry Arnoux, 1-Dec-2017.) |
Ref | Expression |
---|---|
df-cnext |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccnext 21152 |
. 2
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2 | vj |
. . 3
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3 | vk |
. . 3
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4 | ctop 19994 |
. . 3
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5 | vf |
. . . 4
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6 | 3 | cv 1451 |
. . . . . 6
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7 | 6 | cuni 4190 |
. . . . 5
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8 | 2 | cv 1451 |
. . . . . 6
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9 | 8 | cuni 4190 |
. . . . 5
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10 | cpm 7491 |
. . . . 5
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11 | 7, 9, 10 | co 6308 |
. . . 4
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12 | vx |
. . . . 5
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13 | 5 | cv 1451 |
. . . . . . 7
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14 | 13 | cdm 4839 |
. . . . . 6
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15 | ccl 20110 |
. . . . . . 7
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16 | 8, 15 | cfv 5589 |
. . . . . 6
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17 | 14, 16 | cfv 5589 |
. . . . 5
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18 | 12 | cv 1451 |
. . . . . . 7
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19 | 18 | csn 3959 |
. . . . . 6
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20 | cnei 20190 |
. . . . . . . . . . 11
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21 | 8, 20 | cfv 5589 |
. . . . . . . . . 10
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22 | 19, 21 | cfv 5589 |
. . . . . . . . 9
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23 | crest 15397 |
. . . . . . . . 9
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24 | 22, 14, 23 | co 6308 |
. . . . . . . 8
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25 | cflf 21028 |
. . . . . . . 8
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26 | 6, 24, 25 | co 6308 |
. . . . . . 7
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27 | 13, 26 | cfv 5589 |
. . . . . 6
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28 | 19, 27 | cxp 4837 |
. . . . 5
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29 | 12, 17, 28 | ciun 4269 |
. . . 4
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30 | 5, 11, 29 | cmpt 4454 |
. . 3
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31 | 2, 3, 4, 4, 30 | cmpt2 6310 |
. 2
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32 | 1, 31 | wceq 1452 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: cnextval 21154 |
Copyright terms: Public domain | W3C validator |