Support — Mathlib

English

Equality in FiniteAdeleRing is determined componentwise over HeightOneSpectrum.

Русский

Равенство в FiniteAdeleRing определяется по компонентам на спектре высоты единицы.

LaTeX

$$ext {a1 a2 : FiniteAdeleRing R K} (h : ∀ v, a1 v = a2 v) : a1 = a2$$

Lean4

/-- The support of an element `k` of the field of fractions of a Dedekind domain is
the set of maximal ideals of the Dedekind domain at which `k` is not integral.
-/
def Support (k : K) : Set (HeightOneSpectrum R) :=
  {v : HeightOneSpectrum R | 1 < v.valuation K k}

Похожие утверждения