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Mirrors > Home > MPE Home > Th. List > df-sbg | Structured version Visualization version Unicode version |
Description: Define group subtraction (also called division for multiplicative groups). (Contributed by NM, 31-Mar-2014.) |
Ref | Expression |
---|---|
df-sbg |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csg 16720 |
. 2
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2 | vg |
. . 3
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3 | cvv 3057 |
. . 3
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4 | vx |
. . . 4
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5 | vy |
. . . 4
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6 | 2 | cv 1454 |
. . . . 5
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7 | cbs 15170 |
. . . . 5
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8 | 6, 7 | cfv 5601 |
. . . 4
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9 | 4 | cv 1454 |
. . . . 5
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10 | 5 | cv 1454 |
. . . . . 6
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11 | cminusg 16719 |
. . . . . . 7
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12 | 6, 11 | cfv 5601 |
. . . . . 6
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13 | 10, 12 | cfv 5601 |
. . . . 5
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14 | cplusg 15239 |
. . . . . 6
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15 | 6, 14 | cfv 5601 |
. . . . 5
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16 | 9, 13, 15 | co 6315 |
. . . 4
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17 | 4, 5, 8, 8, 16 | cmpt2 6317 |
. . 3
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18 | 2, 3, 17 | cmpt 4475 |
. 2
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19 | 1, 18 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: grpsubfval 16757 |
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