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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 7393 | . 2 class 1Q | |
| 2 | c1o 6494 | . . . 4 class 1o | |
| 3 | 2, 2 | cop 3635 | . . 3 class 〈1o, 1o〉 |
| 4 | ceq 7391 | . . 3 class ~Q | |
| 5 | 3, 4 | cec 6617 | . 2 class [〈1o, 1o〉] ~Q |
| 6 | 1, 5 | wceq 1372 | 1 wff 1Q = [〈1o, 1o〉] ~Q |
| Colors of variables: wff set class |
| This definition is referenced by: 1nq 7478 1qec 7500 mulidnq 7501 1lt2nq 7518 addpinq1 7576 caucvgprlemm 7780 caucvgprprlemmu 7807 caucvgsr 7914 pitonnlem1 7957 nntopi 8006 |
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