Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalDomain_stdBasis
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
ZSpan.fundamentalDomain (NumberField.mixedEmbedding.stdBasis K) =
(Set.univ.pi fun x => Set.Ico 0 1) ×ˢ
Set.univ.pi fun x => ⇑Complex.measurableEquivPi ⁻¹' Set.univ.pi fun x => Set.Ico 0 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Set.preimagestatement · cited by 4,946
- Set.univstatement · cited by 3,945
- Set.extproof · cited by 2,266
- SProd.sprodstatement · cited by 1,750
- Complex.reproof · cited by 882
- Matrix.vecEmptyproof · cited by 832
- Set.Icostatement · cited by 799
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_fundamentalDomain_stdBasisproof · cited by 2