Theorems · Theorem · number theory
NumberField.mixedEmbedding.fundamentalDomain_idealLattice
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
(I : (FractionalIdeal (nonZeroDivisors (NumberField.RingOfIntegers K)) K)ˣ),
MeasureTheory.IsAddFundamentalDomain (↥(NumberField.mixedEmbedding.idealLattice K I))
(ZSpan.fundamentalDomain (NumberField.mixedEmbedding.fractionalIdealLatticeBasis K I)) MeasureTheory.volume- Cited by
- 1 results in Mathlib
- Foundations
- Depth 313 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.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Submodulestatement and proof · cited by 7,192
- Complexstatement · cited by 5,565
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- nonZeroDivisorsstatement and proof · cited by 895
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement · cited by 604
- FractionalIdealstatement and proof · cited by 423
- NumberField.RingOfIntegersstatement and proof · cited by 413
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.covolume_idealLatticeproof · cited by 1