Theorems · Definition · number theory

ZSpan.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] → Module.Basis ι K E → [LinearOrder K] → Set E

The fundamental domain of the ℤ-lattice spanned by b. See ZSpan.isAddFundamentalDomain for the proof that it is a fundamental domain.

Defined in

Mathlib.Algebra.Module.ZLattice.Basic

Cited by

48 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedAddCommGroupNormedSpaceLinearOrder