Theorems · Definition · commutative algebra
HomogeneousLocalization.mk
{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} → HomogeneousLocalization.NumDenSameDeg 𝒜 x → HomogeneousLocalization 𝒜 xConstruct an element of HomogeneousLocalization 𝒜 x from a homogeneous fraction.
- Cited by
- 55 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Quotient.mk''proof · cited by 132
- HomogeneousLocalization.NumDenSameDegstatement and proof · cited by 78
- HomogeneousLocalizationstatement · cited by 69
Cited by60
Results whose statement or proof uses this declaration.
- HomogeneousLocalization.mk_surjectivestatement · cited by 14
- HomogeneousLocalization.val_mkstatement · cited by 14
- HomogeneousLocalization.Away.mkproof · cited by 11
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrierproof · cited by 9
- HomogeneousLocalization.fromZeroRingHomproof · cited by 7
- AlgebraicGeometry.sectionInBasicOpenproof · cited by 6
- AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.mk_mem_carrierstatement and proof · cited by 5
- AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec_base_apply_eqproof · cited by 3
- HomogeneousLocalization.val_awayMap_mkstatement and proof · cited by 3
- AlgebraicGeometry.Proj.awayMap_awayToSectionproof · cited by 2
- AlgebraicGeometry.Proj.awayToSection_comp_appLEproof · cited by 2
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.denom_notMemproof · cited by 2