Theorems · Definition · number theory

ZSpan.fract

{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 →
              [inst_3 : LinearOrder K] → [IsStrictOrderedRing K] → [FloorRing K] → [Fintype ι] → E → E

The map that sends a vector E to the fundamentalDomain of the lattice, see ZSpan.fract_mem_fundamentalDomain, and fractRestrict for the map with the codomain restricted to fundamentalDomain.

Defined in

Mathlib.Algebra.Module.ZLattice.Basic

Cited by

14 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedAddCommGroupNormedSpaceLinearOrderIsStrictOrderedRingFloorRingFintype