Theorems · Theorem · category theory

skyscraperPresheafFunctor_obj

∀ {X : TopCat} (p₀ : ↑X) [inst : (U : TopologicalSpace.Opens ↑X) → Decidable (p₀ ∈ U)] {C : Type v}
  [inst_1 : CategoryTheory.Category.{w, v} C] [inst_2 : CategoryTheory.Limits.HasTerminal C] (A : C),
  (skyscraperPresheafFunctor p₀).obj A = skyscraperPresheaf p₀ A

Defined in

Mathlib.Topology.Sheaves.Skyscraper

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableCategoryTheory.CategoryCategoryTheory.Limits.HasTerminal