Theorems · Definition · category theory

CompHausLike.LocallyConstant.functor

(P : TopCat → Prop) →
  [inst : CompHausLike.HasExplicitFiniteCoproducts P] →
    [inst_1 : CompHausLike.HasExplicitPullbacks P] →
      (hs :
          ∀ ⦃X Y : CompHausLike P⦄ (f : X ⟶ Y),
            CategoryTheory.EffectiveEpi f → Function.Surjective ⇑(CategoryTheory.ConcreteCategory.hom f)) →
        CategoryTheory.Functor (Type (max u w))
          (CategoryTheory.Sheaf (CategoryTheory.coherentTopology (CompHausLike P)) (Type (max u w)))

CompHausLike.LocallyConstant.functorToPresheaves lands in sheaves.

Defined in

Mathlib.Condensed.Discrete.LocallyConstant

Cited by

11 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CompHausLike.HasExplicitFiniteCoproductsCompHausLike.HasExplicitPullbacks