Theorems · Theorem · category theory

CategoryTheory.Limits.limit.lift_map

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {F G : CategoryTheory.Functor J C} [inst_2 : CategoryTheory.Limits.HasLimit F]
  [inst_3 : CategoryTheory.Limits.HasLimit G] (c : CategoryTheory.Limits.Cone F) (α : F ⟶ G),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.limit.lift F c) (CategoryTheory.Limits.limMap α) =
    CategoryTheory.Limits.limit.lift G ((CategoryTheory.Limits.Cone.postcompose α).obj c)

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

1 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasLimitCategoryTheory.Limits.HasLimit