Theorems · Theorem · commutative algebra
Ideal.le_toIdeal_homogeneousHull
∀ {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] (I : Ideal A),
I ≤ (Ideal.homogeneousHull 𝒜 I).toIdeal- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Idealstatement and proof · cited by 4,748
- AddMonoidstatement and proof · cited by 2,864
- SetLikestatement and proof · cited by 1,084
- GradedRingstatement and proof · cited by 424
- AddSubmonoidClassstatement and proof · cited by 346
- DFinsupp.supportproof · cited by 158
- HomogeneousIdeal.toIdealstatement and proof · cited by 105
- DirectSum.decomposeproof · cited by 93
- Ideal.subset_spanproof · cited by 86
- Ideal.sum_memproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- Ideal.homogeneousHull.gcproof · cited by 1
- Ideal.IsHomogeneous.toIdeal_homogeneousHull_eq_selfproof · cited by 1