Theorems · Theorem · category theory

CategoryTheory.Functor.weightedLimObjObj_w

∀ {J : Type u} [inst : CategoryTheory.Category.{v, u} J] {C : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} C]
  (W : CategoryTheory.Functor J (Type w)) (F : CategoryTheory.Functor J C)
  [inst_2 : CategoryTheory.Limits.HasWeightedLimit W F] ⦃j₁ j₂ : J⦄ (x : W.obj j₁) (f : j₁ ⟶ j₂),
  CategoryTheory.CategoryStruct.comp (W.weightedLimObjObjπ F x) (F.map f) =
    W.weightedLimObjObjπ F ((CategoryTheory.ConcreteCategory.hom (W.map f)) x)

Defined in

Mathlib.CategoryTheory.Limits.Weighted.HasWeightedLimit

Cited by

1 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasWeightedLimit