Theorems · Theorem · number theory

ZSpan.map_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] {F : Type u_4}
  [inst_4 : NormedAddCommGroup F] [inst_5 : NormedSpace K F] (f : E ≃ₗ[K] F),
  ⇑f '' ZSpan.fundamentalDomain b = ZSpan.fundamentalDomain (b.map f)

Defined in

Mathlib.Algebra.Module.ZLattice.Basic

Cited by

2 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedAddCommGroupNormedSpaceLinearOrderNormedAddCommGroupNormedSpace