Theorems · Theorem · algebraic geometry

AlgebraicGeometry.PresheafedSpace.map_id_c_app

∀ {J : Type u'} [inst : CategoryTheory.Category.{v', u'} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  (F : CategoryTheory.Functor J (AlgebraicGeometry.PresheafedSpace C)) (j : J)
  (U : (TopologicalSpace.Opens ↑↑(F.obj j))ᵒᵖ),
  (F.map (CategoryTheory.CategoryStruct.id j)).c.app U =
    CategoryTheory.CategoryStruct.comp ((TopCat.Presheaf.Pushforward.id (F.obj j).presheaf).inv.app U)
      ((TopCat.Presheaf.pushforwardEq ⋯ (F.obj j).presheaf).hom.app U)

Defined in

Mathlib.Geometry.RingedSpace.PresheafedSpace.HasColimits

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category