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Mirrors > Home > MPE Home > Th. List > df-nq | Structured version Visualization version Unicode version |
Description: Define class of positive fractions. This is a "temporary" set used in the construction of complex numbers df-c 9545, and is intended to be used only by the construction. From Proposition 9-2.2 of [Gleason] p. 117. (Contributed by NM, 16-Aug-1995.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-nq |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnq 9277 |
. 2
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2 | vx |
. . . . . . 7
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3 | 2 | cv 1443 |
. . . . . 6
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4 | vy |
. . . . . . 7
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5 | 4 | cv 1443 |
. . . . . 6
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6 | ceq 9276 |
. . . . . 6
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7 | 3, 5, 6 | wbr 4402 |
. . . . 5
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8 | c2nd 6792 |
. . . . . . . 8
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9 | 5, 8 | cfv 5582 |
. . . . . . 7
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10 | 3, 8 | cfv 5582 |
. . . . . . 7
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11 | clti 9272 |
. . . . . . 7
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12 | 9, 10, 11 | wbr 4402 |
. . . . . 6
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13 | 12 | wn 3 |
. . . . 5
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14 | 7, 13 | wi 4 |
. . . 4
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15 | cnpi 9269 |
. . . . 5
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16 | 15, 15 | cxp 4832 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() |
17 | 14, 4, 16 | wral 2737 |
. . 3
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18 | 17, 2, 16 | crab 2741 |
. 2
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19 | 1, 18 | wceq 1444 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: nqex 9348 0nnq 9349 elpqn 9350 pinq 9352 nqereu 9354 |
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