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| Mirrors > Home > ILE Home > Th. List > df-1nqqs | GIF version | ||
| Description: Define positive fraction constant 1. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-2.2 of [Gleason] p. 117. (Contributed by NM, 29-Oct-1995.) |
| Ref | Expression |
|---|---|
| df-1nqqs | ⊢ 1Q = [〈1o, 1o〉] ~Q |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c1q 7491 | . 2 class 1Q | |
| 2 | c1o 6570 | . . . 4 class 1o | |
| 3 | 2, 2 | cop 3670 | . . 3 class 〈1o, 1o〉 |
| 4 | ceq 7489 | . . 3 class ~Q | |
| 5 | 3, 4 | cec 6695 | . 2 class [〈1o, 1o〉] ~Q |
| 6 | 1, 5 | wceq 1395 | 1 wff 1Q = [〈1o, 1o〉] ~Q |
| Colors of variables: wff set class |
| This definition is referenced by: 1nq 7576 1qec 7598 mulidnq 7599 1lt2nq 7616 addpinq1 7674 caucvgprlemm 7878 caucvgprprlemmu 7905 caucvgsr 8012 pitonnlem1 8055 nntopi 8104 |
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