Theorems · Theorem · category theory

TopCat.Presheaf.stalkSpecializes_refl

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasColimits C] {X : TopCat}
  (F : TopCat.Presheaf C X) (x : ↑X), F.stalkSpecializes ⋯ = CategoryTheory.CategoryStruct.id (F.stalk x)

Defined in

Mathlib.Topology.Sheaves.Stalks

Cited by

8 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasColimits