Theorems · Theorem · category theory

CategoryTheory.Limits.WeightedCone.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} (c : CategoryTheory.Limits.WeightedCone W F)
  {i j : J} (x : W.obj i) (f : i ⟶ j),
  CategoryTheory.CategoryStruct.comp (c.π x) (F.map f) = c.π ((CategoryTheory.ConcreteCategory.hom (W.map f)) x)

Defined in

Mathlib.CategoryTheory.Limits.Weighted.HasWeightedLimit

Cited by

1 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category