Theorems · Theorem · category theory

TopCat.Presheaf.stalkPushforward.id

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasColimits C] {X : TopCat}
  (ℱ : TopCat.Presheaf C X) (x : ↑X),
  TopCat.Presheaf.stalkPushforward C (CategoryTheory.CategoryStruct.id X) ℱ x =
    (TopCat.Presheaf.stalkFunctor C x).map (TopCat.Presheaf.Pushforward.id ℱ).hom

Defined in

Mathlib.Topology.Sheaves.Stalks

Cited by

1 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasColimits