fundamentalDomain_idealLattice — Mathlib

English

Fundamental domain for the ideal lattice is given by the fractional ideal lattice under the mixed embedding.

Русский

Фунд.Domain для идеальной решётки задаётся дробной идеальной решёткой в смешанном вложении.

LaTeX

$$$ fundamentalDomain_idealLattice(K,I) := IsAddFundamentalDomain (mixedEmbedding.idealLattice K I) (ZSpan.fundamentalDomain (fractionalIdealLatticeBasis K I)) $$$

Lean4

theorem fundamentalDomain_idealLattice :
    MeasureTheory.IsAddFundamentalDomain (mixedEmbedding.idealLattice K I)
      (ZSpan.fundamentalDomain (fractionalIdealLatticeBasis K I)) :=
  by
  rw [← span_idealLatticeBasis]
  exact ZSpan.isAddFundamentalDomain (fractionalIdealLatticeBasis K I) _

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