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Theorems · Theorem · category theory

CategoryTheory.Presieve.isSheaf_of_le

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.Functor Cᵒᵖ (Type w))
  {J₁ J₂ : CategoryTheory.GrothendieckTopology C},
  J₁ ≤ J₂ → CategoryTheory.Presieve.IsSheaf J₂ P → CategoryTheory.Presieve.IsSheaf J₁ P
Defined in
Mathlib.CategoryTheory.Sites.SheafOfTypes
Cited by
4 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

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CategoryTheory.GrothendieckTopology.Subcanonical.isSheaf_of_isRepresentable · cited by 5Subcanonical.isSheaf_of_i…CategoryTheory.Functor.le_inducedTopology_iff · cited by 3Functor.le_inducedTopolog…AlgebraicGeometry.isSheaf_type_propQCTopology_iff · cited by 1AlgebraicGeometry.isSheaf…CategoryTheory.Presieve.isSheaf_sup · cited by 1Presieve.isSheaf_supDFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.Sieve · cited by 552CategoryTheory.SieveCategoryTheory.Presieve.IsSheaf · cited by 66Presieve.IsSheafPresieve.isSheaf_of_leCITED BYCITES

Cites7

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Cited by4

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