Theorems · Definition · category theory
CategoryTheory.Functor.OneHypercoverDenseData.toPreOneHypercoverDenseData
{C₀ : Type u₀} →
{C : Type u} →
[inst : CategoryTheory.Category.{v₀, u₀} C₀] →
[inst_1 : CategoryTheory.Category.{v, u} C] →
{F : CategoryTheory.Functor C₀ C} →
{J₀ : CategoryTheory.GrothendieckTopology C₀} →
{J : CategoryTheory.GrothendieckTopology C} →
{S : C} → F.OneHypercoverDenseData J₀ J S → F.PreOneHypercoverDenseData S- Cited by
- 35 results in Mathlib
- Foundations
- Depth 3 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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.GrothendieckTopologystatement and proof · cited by 1,415
- CategoryTheory.Functor.OneHypercoverDenseDatastatement and proof · cited by 50
- CategoryTheory.Functor.PreOneHypercoverDenseDatastatement · cited by 27
Cited by50
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObjproof · cited by 26
- CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObjπstatement and proof · cited by 23
- CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafMapproof · cited by 13
- CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafMap_πstatement and proof · cited by 5
- CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObj_hom_extstatement and proof · cited by 5
- CategoryTheory.Functor.OneHypercoverDenseData.SieveStruct.i₀statement · cited by 4
- CategoryTheory.Functor.OneHypercoverDenseData.SieveStruct.qstatement · cited by 4
- CategoryTheory.Functor.OneHypercoverDenseData.toOneHypercoverproof · cited by 4
- CategoryTheory.Functor.OneHypercoverDenseData.SieveStruct.facstatement · cited by 3
- CategoryTheory.Functor.OneHypercoverDenseData.mem₀statement · cited by 3