Theorems · Theorem · number theory
ZSpan.fundamentalDomain_ae_parallelepiped
∀ {E : Type u_1} {ι : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] (b : Module.Basis ι ℝ E)
[inst_2 : Fintype ι] [inst_3 : MeasurableSpace E] (μ : MeasureTheory.Measure E) [BorelSpace E] [μ.IsAddHaarMeasure],
ZSpan.fundamentalDomain b =ᵐ[μ] parallelepiped ⇑b- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites53
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
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- Finset.sumproof · cited by 5,195
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.euclidean.volumePreserving_toMixedproof · cited by 2
- ZLattice.covolume_eq_det_mul_measureRealproof · cited by 0