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Mirrors > Home > ILE Home > Th. List > df-cmn | Unicode version |
Description: Define class of all commutative monoids. (Contributed by Mario Carneiro, 6-Jan-2015.) |
Ref | Expression |
---|---|
df-cmn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccmn 13088 |
. 2
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2 | va |
. . . . . . . 8
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3 | 2 | cv 1352 |
. . . . . . 7
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4 | vb |
. . . . . . . 8
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5 | 4 | cv 1352 |
. . . . . . 7
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6 | vg |
. . . . . . . . 9
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7 | 6 | cv 1352 |
. . . . . . . 8
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8 | cplusg 12536 |
. . . . . . . 8
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9 | 7, 8 | cfv 5217 |
. . . . . . 7
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10 | 3, 5, 9 | co 5875 |
. . . . . 6
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11 | 5, 3, 9 | co 5875 |
. . . . . 6
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12 | 10, 11 | wceq 1353 |
. . . . 5
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13 | cbs 12462 |
. . . . . 6
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14 | 7, 13 | cfv 5217 |
. . . . 5
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15 | 12, 4, 14 | wral 2455 |
. . . 4
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16 | 15, 2, 14 | wral 2455 |
. . 3
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17 | cmnd 12817 |
. . 3
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18 | 16, 6, 17 | crab 2459 |
. 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: iscmn 13096 |
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