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Mirrors > Home > ILE Home > Th. List > df-ltpq | Unicode version |
Description: Define pre-ordering relation on positive fractions. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. Similar to Definition 5 of [Suppes] p. 162. (Contributed by NM, 28-Aug-1995.) |
Ref | Expression |
---|---|
df-ltpq |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cltpq 7268 |
. 2
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2 | vx |
. . . . . . 7
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3 | 2 | cv 1352 |
. . . . . 6
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4 | cnpi 7262 |
. . . . . . 7
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5 | 4, 4 | cxp 4621 |
. . . . . 6
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6 | 3, 5 | wcel 2148 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | vy |
. . . . . . 7
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8 | 7 | cv 1352 |
. . . . . 6
![]() ![]() |
9 | 8, 5 | wcel 2148 |
. . . . 5
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10 | 6, 9 | wa 104 |
. . . 4
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11 | c1st 6133 |
. . . . . . 7
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12 | 3, 11 | cfv 5212 |
. . . . . 6
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13 | c2nd 6134 |
. . . . . . 7
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14 | 8, 13 | cfv 5212 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
15 | cmi 7264 |
. . . . . 6
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16 | 12, 14, 15 | co 5869 |
. . . . 5
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17 | 8, 11 | cfv 5212 |
. . . . . 6
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18 | 3, 13 | cfv 5212 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() |
19 | 17, 18, 15 | co 5869 |
. . . . 5
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20 | clti 7265 |
. . . . 5
![]() ![]() | |
21 | 16, 19, 20 | wbr 4000 |
. . . 4
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22 | 10, 21 | wa 104 |
. . 3
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23 | 22, 2, 7 | copab 4060 |
. 2
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24 | 1, 23 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: (None) |
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