Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.Point.skyscraperSheafFunctor_obj_obj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C} (Φ : J.Point)
  {A : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} A] [inst_2 : CategoryTheory.Limits.HasProducts A] (M : A),
  (Φ.skyscraperSheafFunctor.obj M).obj = Φ.skyscraperPresheaf M

Defined in

Mathlib.CategoryTheory.Sites.Point.Skyscraper

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasProducts