Theorems · Theorem · category theory
skyscraperPresheafFunctor_map
∀ {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] {X_1 Y : C} (f : X_1 ⟶ Y),
(skyscraperPresheafFunctor p₀).map f = SkyscraperPresheafFunctor.map' p₀ f- Defined in
- Mathlib.Topology.Sheaves.Skyscraper
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- TopCat.carrierstatement and proof · cited by 3,184
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- TopCatstatement and proof · cited by 1,889
- TopCat.Presheafstatement · cited by 371
- CategoryTheory.Limits.HasTerminalstatement and proof · cited by 142
- skyscraperPresheafstatement · cited by 23
- skyscraperPresheafFunctorstatement and proof · cited by 4
- SkyscraperPresheafFunctor.map'statement · cited by 4
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