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Mirrors > Home > MPE Home > Th. List > df-wlkon | Structured version Visualization version Unicode version |
Description: Define the collection of walks with particular endpoints (in an un- directed graph). This corresponds to the "x0-x(l)-walks", see Definition in [Bollobas] p. 5. (Contributed by Alexander van der Vekens and Mario Carneiro, 4-Oct-2017.) |
Ref | Expression |
---|---|
df-wlkon |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cwlkon 25279 |
. 2
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2 | vv |
. . 3
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3 | ve |
. . 3
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4 | cvv 3057 |
. . 3
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5 | va |
. . . 4
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6 | vb |
. . . 4
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7 | 2 | cv 1454 |
. . . 4
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8 | vf |
. . . . . . . 8
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9 | 8 | cv 1454 |
. . . . . . 7
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10 | vp |
. . . . . . . 8
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11 | 10 | cv 1454 |
. . . . . . 7
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12 | 3 | cv 1454 |
. . . . . . . 8
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13 | cwalk 25275 |
. . . . . . . 8
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14 | 7, 12, 13 | co 6315 |
. . . . . . 7
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15 | 9, 11, 14 | wbr 4416 |
. . . . . 6
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16 | cc0 9565 |
. . . . . . . 8
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17 | 16, 11 | cfv 5601 |
. . . . . . 7
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18 | 5 | cv 1454 |
. . . . . . 7
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19 | 17, 18 | wceq 1455 |
. . . . . 6
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20 | chash 12547 |
. . . . . . . . 9
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21 | 9, 20 | cfv 5601 |
. . . . . . . 8
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22 | 21, 11 | cfv 5601 |
. . . . . . 7
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23 | 6 | cv 1454 |
. . . . . . 7
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24 | 22, 23 | wceq 1455 |
. . . . . 6
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25 | 15, 19, 24 | w3a 991 |
. . . . 5
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26 | 25, 8, 10 | copab 4474 |
. . . 4
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27 | 5, 6, 7, 7, 26 | cmpt2 6317 |
. . 3
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28 | 2, 3, 4, 4, 27 | cmpt2 6317 |
. 2
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29 | 1, 28 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: wlkon 25310 wlkonprop 25312 |
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