Theorems · Theorem · number theory
ZSpan.volume_fundamentalDomain
∀ {ι : Type u_2} [inst : Fintype ι] [inst_1 : DecidableEq ι] (b : Module.Basis ι ℝ (ι → ℝ)),
MeasureTheory.volume (ZSpan.fundamentalDomain b) = ENNReal.ofReal |(Matrix.of ⇑b).det|- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 258 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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 and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Set.univproof · cited by 3,945
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- Finset.prodproof · cited by 2,356
Cited by1
Results whose statement or proof uses this declaration.
- ZSpan.volume_real_fundamentalDomainproof · cited by 1