Theorems · Theorem · category theory
CategoryTheory.Presieve.FamilyOfElements.Compatible.to_sieveCompatible
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P : CategoryTheory.Functor Cᵒᵖ (Type w)} {X : C}
{S : CategoryTheory.Sieve X} {x : CategoryTheory.Presieve.FamilyOfElements P S.arrows},
x.Compatible → x.SieveCompatible- Defined in
- Mathlib.CategoryTheory.Sites.IsSheafFor
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Sievestatement and proof · cited by 552
- CategoryTheory.Sieve.arrowsstatement and proof · cited by 446
- CategoryTheory.Presieve.FamilyOfElementsstatement and proof · cited by 103
- CategoryTheory.Presieve.FamilyOfElements.Compatiblestatement and proof · cited by 79
- CategoryTheory.Presieve.compatible_iff_sieveCompatibleproof · cited by 6
- CategoryTheory.Presieve.FamilyOfElements.SieveCompatiblestatement · cited by 5
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