Theorems · Theorem · commutative algebra

Ideal.IsHomogeneous.iSup

∀ {ι : Type u_1} {σ : Type u_2} {A : Type u_3} [inst : Semiring A] [inst_1 : DecidableEq ι] [inst_2 : AddMonoid ι]
  [inst_3 : SetLike σ A] [inst_4 : AddSubmonoidClass σ A] {𝒜 : ι → σ} [inst_5 : GradedRing 𝒜] {κ : Sort u_4}
  {f : κ → Ideal A}, (∀ (i : κ), Ideal.IsHomogeneous 𝒜 (f i)) → Ideal.IsHomogeneous 𝒜 (⨆ i, f i)

Defined in

Mathlib.RingTheory.GradedAlgebra.Homogeneous.Ideal

Cited by

1 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringDecidableEqAddMonoidSetLikeAddSubmonoidClassGradedRing