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Mirrors > Home > MPE Home > Th. List > df-tms | Structured version Visualization version Unicode version |
Description: Define the function mapping a metric to a metric space. (Contributed by Mario Carneiro, 2-Sep-2015.) |
Ref | Expression |
---|---|
df-tms |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ctmt 21412 |
. 2
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2 | vd |
. . 3
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3 | cxmt 19032 |
. . . . 5
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4 | 3 | crn 4840 |
. . . 4
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5 | 4 | cuni 4190 |
. . 3
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6 | cnx 15196 |
. . . . . . 7
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7 | cbs 15199 |
. . . . . . 7
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8 | 6, 7 | cfv 5589 |
. . . . . 6
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9 | 2 | cv 1451 |
. . . . . . . 8
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10 | 9 | cdm 4839 |
. . . . . . 7
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11 | 10 | cdm 4839 |
. . . . . 6
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12 | 8, 11 | cop 3965 |
. . . . 5
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13 | cds 15277 |
. . . . . . 7
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14 | 6, 13 | cfv 5589 |
. . . . . 6
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15 | 14, 9 | cop 3965 |
. . . . 5
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16 | 12, 15 | cpr 3961 |
. . . 4
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17 | cts 15274 |
. . . . . 6
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18 | 6, 17 | cfv 5589 |
. . . . 5
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19 | cmopn 19037 |
. . . . . 6
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20 | 9, 19 | cfv 5589 |
. . . . 5
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21 | 18, 20 | cop 3965 |
. . . 4
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22 | csts 15197 |
. . . 4
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23 | 16, 21, 22 | co 6308 |
. . 3
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24 | 2, 5, 23 | cmpt 4454 |
. 2
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25 | 1, 24 | wceq 1452 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: tmsval 21574 |
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