Theorems · Definition · category theory

TopCat.Presheaf.SheafConditionPairwiseIntersections.coneEquivFunctor

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasProducts C] →
      {X : TopCat} →
        (F : TopCat.Presheaf C X) →
          {ι : Type v'} →
            (U : ι → TopologicalSpace.Opens ↑X) →
              CategoryTheory.Functor (CategoryTheory.Limits.Cone ((CategoryTheory.Pairwise.diagram U).op.comp F))
                (CategoryTheory.Limits.Cone (TopCat.Presheaf.SheafConditionEqualizerProducts.diagram F U))

Implementation of SheafConditionPairwiseIntersections.coneEquiv.

Defined in

Mathlib.Topology.Sheaves.SheafCondition.EqualizerProducts

Cited by

12 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasProducts