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Mirrors > Home > ILE Home > Th. List > df-rgspn | Unicode version |
Description: The ring-span of a set of elements in a ring is the smallest subring which contains all of them. (Contributed by Stefan O'Rear, 7-Dec-2014.) |
Ref | Expression |
---|---|
df-rgspn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | crgspn 13277 |
. 2
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2 | vw |
. . 3
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3 | cvv 2737 |
. . 3
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4 | vs |
. . . 4
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5 | 2 | cv 1352 |
. . . . . 6
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6 | cbs 12454 |
. . . . . 6
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7 | 5, 6 | cfv 5215 |
. . . . 5
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8 | 7 | cpw 3575 |
. . . 4
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9 | 4 | cv 1352 |
. . . . . . 7
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10 | vt |
. . . . . . . 8
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11 | 10 | cv 1352 |
. . . . . . 7
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12 | 9, 11 | wss 3129 |
. . . . . 6
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13 | csubrg 13276 |
. . . . . . 7
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14 | 5, 13 | cfv 5215 |
. . . . . 6
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15 | 12, 10, 14 | crab 2459 |
. . . . 5
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16 | 15 | cint 3844 |
. . . 4
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17 | 4, 8, 16 | cmpt 4063 |
. . 3
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18 | 2, 3, 17 | cmpt 4063 |
. 2
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19 | 1, 18 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: (None) |
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