Theorems · Theorem · category theory

CategoryTheory.Limits.limit.w_assoc

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  (F : CategoryTheory.Functor J C) [inst_2 : CategoryTheory.Limits.HasLimit F] {j j' : J} (f : j ⟶ j') {Z : C}
  (h : F.obj j' ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.limit.π F j)
      (CategoryTheory.CategoryStruct.comp (F.map f) h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.limit.π F j') h

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasLimit