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Mirrors > Home > MPE Home > Th. List > df-dvdsr | Structured version Visualization version Unicode version |
Description: Define the (right)
divisibility relation in a ring. Access to the left
divisibility relation is available through
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Ref | Expression |
---|---|
df-dvdsr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdsr 17915 |
. 2
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2 | vw |
. . 3
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3 | cvv 3057 |
. . 3
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4 | vx |
. . . . . . 7
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5 | 4 | cv 1454 |
. . . . . 6
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6 | 2 | cv 1454 |
. . . . . . 7
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7 | cbs 15170 |
. . . . . . 7
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8 | 6, 7 | cfv 5601 |
. . . . . 6
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9 | 5, 8 | wcel 1898 |
. . . . 5
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10 | vz |
. . . . . . . . 9
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11 | 10 | cv 1454 |
. . . . . . . 8
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12 | cmulr 15240 |
. . . . . . . . 9
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13 | 6, 12 | cfv 5601 |
. . . . . . . 8
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14 | 11, 5, 13 | co 6315 |
. . . . . . 7
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15 | vy |
. . . . . . . 8
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16 | 15 | cv 1454 |
. . . . . . 7
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17 | 14, 16 | wceq 1455 |
. . . . . 6
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18 | 17, 10, 8 | wrex 2750 |
. . . . 5
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19 | 9, 18 | wa 375 |
. . . 4
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20 | 19, 4, 15 | copab 4474 |
. . 3
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21 | 2, 3, 20 | cmpt 4475 |
. 2
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22 | 1, 21 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: reldvdsr 17921 dvdsrval 17922 |
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