Theorems · Theorem · commutative algebra

HomogeneousLocalization.NumDenSameDeg.den_mem

∀ {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}
  (self : HomogeneousLocalization.NumDenSameDeg 𝒜 x), ↑self.den ∈ x

Defined in

Mathlib.RingTheory.GradedAlgebra.HomogeneousLocalization

Cited by

40 results in Mathlib

Foundations

Depth 15 from the axioms · uses no axioms

Assumes

CommRingSetLike