Theorems · Theorem · commutative algebra
Ideal.IsHomogeneous.mul
∀ {ι : Type u_1} {σ : Type u_2} {A : Type u_3} [inst : CommSemiring 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 J : Ideal A},
Ideal.IsHomogeneous 𝒜 I → Ideal.IsHomogeneous 𝒜 J → Ideal.IsHomogeneous 𝒜 (I * J)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- CommSemiringstatement and proof · cited by 10,911
- Set.imageproof · cited by 5,609
- Idealstatement and proof · cited by 4,748
- AddMonoidstatement and proof · cited by 2,864
- SetLikestatement and proof · cited by 1,084
- Ideal.spanproof · cited by 948
- GradedRingstatement and proof · cited by 424
- AddSubmonoidClassstatement and proof · cited by 346
- Ideal.IsHomogeneousstatement and proof · cited by 30
- Submonoid.subtypeproof · cited by 26
- Set.image_mulproof · cited by 5
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