Theorems · Theorem · number theory

ZSpan.exist_unique_vadd_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] [IsStrictOrderedRing K] [FloorRing K]
  [Finite ι] (x : E), ∃! v, v +ᵥ x ∈ ZSpan.fundamentalDomain b

Defined in

Mathlib.Algebra.Module.ZLattice.Basic

Cited by

3 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedAddCommGroupNormedSpaceLinearOrderIsStrictOrderedRingFloorRingFinite