Mathlib Map

Theorems · Theorem · commutative algebra

HomogeneousIdeal.comap_id

∀ {A : Type u_1} {σ : Type u_4} {ι : Type u_7} [inst : Semiring A] [inst_1 : SetLike σ A]
  [inst_2 : AddSubmonoidClass σ A] [inst_3 : DecidableEq ι] [inst_4 : AddMonoid ι] {𝒜 : ι → σ} [inst_5 : GradedRing 𝒜]
  {I : HomogeneousIdeal 𝒜}, HomogeneousIdeal.comap (GradedRingHom.id 𝒜) I = I
Defined in
Mathlib.RingTheory.GradedAlgebra.Homogeneous.Maps
Cited by
0 results in Mathlib
Foundations
Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringSetLikeAddSubmonoidClassDecidableEqAddMonoidGradedRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Semiring · cited by 13802SemiringAddMonoid · cited by 2864AddMonoidSetLike · cited by 1084SetLikeGradedRing · cited by 424GradedRingAddSubmonoidClass · cited by 346AddSubmonoidClassHomogeneousIdeal · cited by 115HomogeneousIdealGradedRingHom.id · cited by 15GradedRingHom.idHomogeneousIdeal.comap · cited by 10HomogeneousIdeal.comapHomogeneousIdeal.comap_idCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.