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Related theorems GIF version |
| Description: Define positive fraction constant 1. This is a "temporary" set used in the construction of complex numbers df-c 4034, and is intended to be used only by the construction. From Proposition 9-2.2 of [Gleason] p. 117. |
| Ref | Expression |
|---|---|
| df-1q | ⊢ 1Q = [〈1o, 1o〉] ~Q |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c1q 3774 | . 2 class 1Q | |
| 2 | c1o 3099 | . . . 4 class 1o | |
| 3 | 2, 2 | cop 1810 | . . 3 class 〈1o, 1o〉 |
| 4 | ceq 3772 | . . 3 class ~Q | |
| 5 | 3, 4 | cec 3198 | . 2 class [〈1o, 1o〉] ~Q |
| 6 | 1, 5 | wceq 1091 | 1 wff 1Q = [〈1o, 1o〉] ~Q |
| Colors of variables: wff set class |
| This definition is referenced by: 1q 3851 1qec 3862 mulidpq 3863 1lt2pq 3872 prlem934a 3931 |