Theorems · Theorem · number theory

ZLattice.isAddFundamentalDomain

∀ {ι : Type u_3} {E : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
  [inst_2 : FiniteDimensional ℝ E] {L : Submodule ℤ E} [inst_3 : DiscreteTopology ↥L] [inst_4 : IsZLattice ℝ L]
  [Finite ι] (b : Module.Basis ι ℤ ↥L) [inst_6 : MeasurableSpace E] [OpensMeasurableSpace E]
  (μ : MeasureTheory.Measure E),
  MeasureTheory.IsAddFundamentalDomain (↥L) (ZSpan.fundamentalDomain (Module.Basis.ofZLatticeBasis ℝ L b)) μ

Defined in

Mathlib.Algebra.Module.ZLattice.Basic

Cited by

4 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceFiniteDimensionalDiscreteTopologyIsZLatticeFiniteMeasurableSpaceOpensMeasurableSpace