Theorems · Definition · commutative algebra
HomogeneousSubsemiring.toSubsemiring
{ι : Type u_1} →
{σ : Type u_2} →
{A : Type u_3} →
[inst : AddMonoid ι] →
[inst_1 : Semiring A] →
[inst_2 : SetLike σ A] →
[inst_3 : AddSubmonoidClass σ A] →
{𝒜 : ι → σ} →
[inst_4 : DecidableEq ι] → [inst_5 : GradedRing 𝒜] → HomogeneousSubsemiring 𝒜 → Subsemiring A- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- AddMonoidstatement and proof · cited by 2,864
- SetLikestatement and proof · cited by 1,084
- Subsemiringstatement · cited by 456
- GradedRingstatement and proof · cited by 424
- AddSubmonoidClassstatement and proof · cited by 346
- HomogeneousSubsemiringstatement and proof · cited by 12
Cited by6
Results whose statement or proof uses this declaration.
- HomogeneousSubsemiring.is_homogeneous'statement · cited by 2
- HomogeneousSubsemiring.toSubsemiring_injectivestatement and proof · cited by 1
- HomogeneousSubsemiring.extstatement and proof · cited by 1
- HomogeneousSubsemiring.mem_iffstatement · cited by 0
- Subsemiring.toSubsemiring_homogeneousCore_lestatement · cited by 0
- HomogeneousSubsemiring.ext_iffstatement and proof · cited by 0