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Mirrors > Home > MPE Home > Th. List > df-mpl | Structured version Visualization version Unicode version |
Description: Define the subalgebra of the power series algebra generated by the variables; this is the polynomial algebra (the set of power series with finite degree). (Contributed by Mario Carneiro, 7-Jan-2015.) (Revised by AV, 25-Jun-2019.) |
Ref | Expression |
---|---|
df-mpl |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cmpl 18577 |
. 2
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2 | vi |
. . 3
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3 | vr |
. . 3
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4 | cvv 3045 |
. . 3
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5 | vw |
. . . 4
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6 | 2 | cv 1443 |
. . . . 5
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7 | 3 | cv 1443 |
. . . . 5
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8 | cmps 18575 |
. . . . 5
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9 | 6, 7, 8 | co 6290 |
. . . 4
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10 | 5 | cv 1443 |
. . . . 5
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11 | vf |
. . . . . . . 8
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12 | 11 | cv 1443 |
. . . . . . 7
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13 | c0g 15338 |
. . . . . . . 8
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14 | 7, 13 | cfv 5582 |
. . . . . . 7
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15 | cfsupp 7883 |
. . . . . . 7
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16 | 12, 14, 15 | wbr 4402 |
. . . . . 6
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17 | cbs 15121 |
. . . . . . 7
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18 | 10, 17 | cfv 5582 |
. . . . . 6
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19 | 16, 11, 18 | crab 2741 |
. . . . 5
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20 | cress 15122 |
. . . . 5
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21 | 10, 19, 20 | co 6290 |
. . . 4
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22 | 5, 9, 21 | csb 3363 |
. . 3
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23 | 2, 3, 4, 4, 22 | cmpt2 6292 |
. 2
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24 | 1, 23 | wceq 1444 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: reldmmpl 18651 mplval 18652 |
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