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Mirrors > Home > MPE Home > Th. List > df-bl | Structured version Visualization version Unicode version |
Description: Define the metric space ball function. See blval 21479 for its value. (Contributed by NM, 30-Aug-2006.) (Revised by Thierry Arnoux, 11-Feb-2018.) |
Ref | Expression |
---|---|
df-bl |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbl 19034 |
. 2
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2 | vd |
. . 3
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3 | cvv 3031 |
. . 3
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4 | vx |
. . . 4
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5 | vz |
. . . 4
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6 | 2 | cv 1451 |
. . . . . 6
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7 | 6 | cdm 4839 |
. . . . 5
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8 | 7 | cdm 4839 |
. . . 4
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9 | cxr 9692 |
. . . 4
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10 | 4 | cv 1451 |
. . . . . . 7
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11 | vy |
. . . . . . . 8
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12 | 11 | cv 1451 |
. . . . . . 7
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13 | 10, 12, 6 | co 6308 |
. . . . . 6
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14 | 5 | cv 1451 |
. . . . . 6
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15 | clt 9693 |
. . . . . 6
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16 | 13, 14, 15 | wbr 4395 |
. . . . 5
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17 | 16, 11, 8 | crab 2760 |
. . . 4
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18 | 4, 5, 8, 9, 17 | cmpt2 6310 |
. . 3
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19 | 2, 3, 18 | cmpt 4454 |
. 2
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20 | 1, 19 | wceq 1452 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: blfvalps 21476 |
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