Theorems · Theorem · number theory
ZSpan.fract_mem_fundamentalDomain
∀ {E : Type u_1} {ι : Type u_2} {K : Type u_3} [inst : NormedField K] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace K E] (b : Module.Basis ι K E) [inst_3 : LinearOrder K] [inst_4 : IsStrictOrderedRing K]
[inst_5 : FloorRing K] [inst_6 : Fintype ι] (x : E), ZSpan.fract b x ∈ ZSpan.fundamentalDomain b- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- LinearOrderstatement and proof · cited by 8,572
- Fintypestatement and proof · cited by 7,736
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Module.Basisstatement and proof · cited by 1,477
- NormedFieldstatement and proof · cited by 1,084
- FloorRingstatement and proof · cited by 405
- ZSpan.fundamentalDomainstatement · cited by 48
- ZSpan.fractstatement · cited by 14
- ZSpan.fract_eq_selfproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- ZSpan.fractRestrictproof · cited by 3
- ZLattice.FGproof · cited by 1