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Mirrors > Home > ILE Home > Th. List > df-dvds | Unicode version |
Description: Define the divides relation, see definition in [ApostolNT] p. 14. (Contributed by Paul Chapman, 21-Mar-2011.) |
Ref | Expression |
---|---|
df-dvds |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdvds 11794 |
. 2
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2 | vx |
. . . . . . 7
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3 | 2 | cv 1352 |
. . . . . 6
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4 | cz 9253 |
. . . . . 6
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5 | 3, 4 | wcel 2148 |
. . . . 5
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6 | vy |
. . . . . . 7
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7 | 6 | cv 1352 |
. . . . . 6
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8 | 7, 4 | wcel 2148 |
. . . . 5
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9 | 5, 8 | wa 104 |
. . . 4
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10 | vn |
. . . . . . . 8
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11 | 10 | cv 1352 |
. . . . . . 7
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12 | cmul 7816 |
. . . . . . 7
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13 | 11, 3, 12 | co 5875 |
. . . . . 6
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14 | 13, 7 | wceq 1353 |
. . . . 5
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15 | 14, 10, 4 | wrex 2456 |
. . . 4
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16 | 9, 15 | wa 104 |
. . 3
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17 | 16, 2, 6 | copab 4064 |
. 2
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18 | 1, 17 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: divides 11796 dvdszrcl 11799 dvdsrzring 13496 |
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