Theorems · Definition · commutative algebra
HomogeneousLocalization.NumDenSameDeg.den
{ι : Type u_1} →
{A : Type u_2} →
{σ : Type u_3} →
[inst : CommRing A] →
[inst_1 : SetLike σ A] →
{𝒜 : ι → σ} → {x : Submonoid A} → (self : HomogeneousLocalization.NumDenSameDeg 𝒜 x) → ↥(𝒜 self.deg)- Cited by
- 47 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Submonoidstatement and proof · cited by 3,086
- SetLikestatement and proof · cited by 1,084
- HomogeneousLocalization.NumDenSameDegstatement and proof · cited by 78
- HomogeneousLocalization.NumDenSameDeg.degstatement · cited by 51
Cited by53
Results whose statement or proof uses this declaration.
- HomogeneousLocalization.NumDenSameDeg.den_memstatement · cited by 40
- HomogeneousLocalization.val_mkstatement · cited by 14
- HomogeneousLocalization.val_mulproof · cited by 9
- HomogeneousLocalization.NumDenSameDeg.embeddingproof · cited by 9
- AlgebraicGeometry.sectionInBasicOpenstatement and proof · cited by 6
- HomogeneousLocalization.val_zeroproof · cited by 6
- AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.mk_mem_carrierproof · cited by 5
- HomogeneousLocalization.mapproof · cited by 5
- AlgebraicGeometry.mem_basicOpen_denstatement and proof · cited by 5
- HomogeneousLocalization.NumDenSameDeg.mapproof · cited by 5
- HomogeneousLocalization.denproof · cited by 5
- HomogeneousLocalization.val_addproof · cited by 4