Theorems · Theorem · category theory

skyscraperSheaf_obj_obj

∀ {X : TopCat} (p₀ : ↑X) [inst : (U : TopologicalSpace.Opens ↑X) → Decidable (p₀ ∈ U)] {C : Type v}
  [inst_1 : CategoryTheory.Category.{u, v} C] (A : C) [inst_2 : CategoryTheory.Limits.HasTerminal C]
  (U : (TopologicalSpace.Opens ↑X)ᵒᵖ), (skyscraperSheaf p₀ A).obj.obj U = if p₀ ∈ Opposite.unop U then A else ⊤_ C

Defined in

Mathlib.Topology.Sheaves.Skyscraper

Cited by

0 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableCategoryTheory.CategoryCategoryTheory.Limits.HasTerminal