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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 6990 | . 2 class 1Q | |
2 | c1o 6236 | . . . 4 class 1o | |
3 | 2, 2 | cop 3477 | . . 3 class 〈1o, 1o〉 |
4 | ceq 6988 | . . 3 class ~Q | |
5 | 3, 4 | cec 6357 | . 2 class [〈1o, 1o〉] ~Q |
6 | 1, 5 | wceq 1299 | 1 wff 1Q = [〈1o, 1o〉] ~Q |
Colors of variables: wff set class |
This definition is referenced by: 1nq 7075 1qec 7097 mulidnq 7098 1lt2nq 7115 addpinq1 7173 caucvgprlemm 7377 caucvgprprlemmu 7404 caucvgsr 7497 pitonnlem1 7532 nntopi 7579 |
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