Theorems · Definition · category theory

CategoryTheory.Functor.OneHypercoverDenseData.toOneHypercover

{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} →
              [CategoryTheory.Functor.IsDenseSubsite J₀ J F] →
                {X : C} → F.OneHypercoverDenseData J₀ J X → J.OneHypercover X

The 1-hypercover associated to a OneHypercoverDenseData structure.

Defined in

Mathlib.CategoryTheory.Sites.DenseSubsite.OneHypercoverDense

Cited by

4 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsDenseSubsite