Theorems · Theorem · commutative algebra

HomogeneousLocalization.val_mk

∀ {ι : Type u_1} {A : Type u_2} {σ : Type u_3} [inst : CommRing A] [inst_1 : SetLike σ A] {𝒜 : ι → σ} {x : Submonoid A}
  (i : HomogeneousLocalization.NumDenSameDeg 𝒜 x),
  (HomogeneousLocalization.mk i).val = Localization.mk ↑i.num ⟨↑i.den, ⋯⟩

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

14 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext

Assumes

CommRingSetLike