Theorems · Theorem · category theory

CategoryTheory.Limits.hasWeakLimit_of_iso

∀ {J : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} J] {C : Type u_3}
  [inst_1 : CategoryTheory.Category.{v_3, u_3} C] {F G : CategoryTheory.Functor J C}
  [CategoryTheory.Limits.HasWeakLimit F] (α : F ≅ G), CategoryTheory.Limits.HasWeakLimit G

If a functor F has a weak limit, so does any naturally isomorphic functor.

Defined in

Mathlib.CategoryTheory.Limits.WeakLimits.Basic

Cited by

3 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasWeakLimit