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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 7113 | . 2 class 1Q | |
2 | c1o 6314 | . . . 4 class 1o | |
3 | 2, 2 | cop 3535 | . . 3 class 〈1o, 1o〉 |
4 | ceq 7111 | . . 3 class ~Q | |
5 | 3, 4 | cec 6435 | . 2 class [〈1o, 1o〉] ~Q |
6 | 1, 5 | wceq 1332 | 1 wff 1Q = [〈1o, 1o〉] ~Q |
Colors of variables: wff set class |
This definition is referenced by: 1nq 7198 1qec 7220 mulidnq 7221 1lt2nq 7238 addpinq1 7296 caucvgprlemm 7500 caucvgprprlemmu 7527 caucvgsr 7634 pitonnlem1 7677 nntopi 7726 |
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