Theorems · Definition · category theory

StalkSkyscraperPresheafAdjunctionAuxs.unit

{X : TopCat} →
  (p₀ : ↑X) →
    [inst : (U : TopologicalSpace.Opens ↑X) → Decidable (p₀ ∈ U)] →
      {C : Type v} →
        [inst_1 : CategoryTheory.Category.{u, v} C] →
          [inst_2 : CategoryTheory.Limits.HasTerminal C] →
            [inst_3 : CategoryTheory.Limits.HasColimits C] →
              CategoryTheory.Functor.id (TopCat.Presheaf C X) ⟶
                (TopCat.Presheaf.stalkFunctor C p₀).comp (skyscraperPresheafFunctor p₀)

The unit in Presheaf.stalkFunctor ⊣ skyscraperPresheafFunctor

Defined in

Mathlib.Topology.Sheaves.Skyscraper

Cited by

1 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableCategoryTheory.CategoryCategoryTheory.Limits.HasTerminalCategoryTheory.Limits.HasColimits