Theorems · Theorem · number theory

ZSpan.measure_fundamentalDomain_ne_zero

∀ {E : Type u_1} {ι : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] (b : Module.Basis ι ℝ E)
  [Finite ι] [inst_3 : MeasurableSpace E] [BorelSpace E] {μ : MeasureTheory.Measure E} [μ.IsAddHaarMeasure],
  μ (ZSpan.fundamentalDomain b) ≠ 0

Defined in: Mathlib.Algebra.Module.ZLattice.Basic
Cited by: 2 results in Mathlib
Foundations: Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace Finite MeasurableSpace BorelSpace MeasureTheory.Measure.IsAddHaarMeasure

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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
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
ENNRealstatement · cited by 9,879
Finitestatement and proof · cited by 3,029
BorelSpacestatement and proof · cited by 1,602
Module.Basisstatement and proof · cited by 1,477
MeasureTheory.Measure.IsAddHaarMeasurestatement and proof · cited by 255

Cited by2

Results whose statement or proof uses this declaration.

ZLattice.covolume_ne_zeroproof · cited by 1
NumberField.mixedEmbedding.minkowskiBound_posproof · cited by 1