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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 6379 | . 2 class 1Q | |
2 | c1o 5994 | . . . 4 class 1𝑜 | |
3 | 2, 2 | cop 3378 | . . 3 class 〈1𝑜, 1𝑜〉 |
4 | ceq 6377 | . . 3 class ~Q | |
5 | 3, 4 | cec 6104 | . 2 class [〈1𝑜, 1𝑜〉] ~Q |
6 | 1, 5 | wceq 1243 | 1 wff 1Q = [〈1𝑜, 1𝑜〉] ~Q |
Colors of variables: wff set class |
This definition is referenced by: 1nq 6464 1qec 6486 mulidnq 6487 1lt2nq 6504 addpinq1 6562 caucvgprlemm 6766 caucvgprprlemmu 6793 caucvgsr 6886 pitonnlem1 6921 nntopi 6968 |
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