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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
Defined in
Mathlib.CategoryTheory.Sites.DenseSubsite.OneHypercoverDense
Cited by
35 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObj · cited by 26essSurj.presheafObjCategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObjπ · cited by 23essSurj.presheafObjπCategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafMap · cited by 13essSurj.presheafMapCategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafMap_π · cited by 5essSurj.presheafMap_πCategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObj_hom_ext · cited by 5essSurj.presheafObj_hom_e…CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObjObjIso.inv · cited by 5presheafObjObjIso.invCategoryTheory.Functor.OneHypercoverDenseData.SieveStruct.i₀ · cited by 4SieveStruct.i₀CategoryTheory.Functor.OneHypercoverDenseData.SieveStruct.q · cited by 4SieveStruct.qCategoryTheory.Functor.OneHypercoverDenseData.toOneHypercover · cited by 4OneHypercoverDenseData.to…CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObjObjIso.hom · cited by 4presheafObjObjIso.homCategoryTheory.Functor.OneHypercoverDenseData.SieveStruct.fac · cited by 3SieveStruct.facCategoryTheory.Functor.OneHypercoverDenseData.mem₀ · cited by 3OneHypercoverDenseData.me…CategoryTheory.Functor.OneHypercoverDenseData.mem₁₀ · cited by 3OneHypercoverDenseData.me…CategoryTheory.Functor.OneHypercoverDenseData.essSurj.presheafObj_mapPreimage_condition · cited by 3essSurj.presheafObj_mapPr…CategoryTheory.Functor.OneHypercoverDenseData.essSurj.restriction_map · cited by 3essSurj.restriction_mapCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.Functor.OneHypercoverDenseData · cited by 50Functor.OneHypercoverDens…CategoryTheory.Functor.PreOneHypercoverDenseData · cited by 27Functor.PreOneHypercoverD…OneHypercoverDenseData.toPreO…CITED BYCITES

Cites5

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Cited by50

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