Theorems · Theorem · number theory
ZSpan.fundamentalDomain_subset_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], ZSpan.fundamentalDomain b ⊆ parallelepiped ⇑b- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Fintypestatement and proof · cited by 7,736
- Set.ofPredproof · cited by 6,101
- Module.Basisstatement and proof · cited by 1,477
- Set.Icoproof · cited by 799
- Module.Basis.reprproof · cited by 498
- ZSpan.fundamentalDomainstatement · cited by 48
- Set.Ico_subset_Icc_selfproof · cited by 41
Cited by1
Results whose statement or proof uses this declaration.
- ZSpan.fundamentalDomain_ae_parallelepipedproof · cited by 2