Theorems · Theorem · category theory

CategoryTheory.Enriched.HasConicalLimit.of_iso

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] (V : Type u') [inst_1 : CategoryTheory.Category.{v', u'} V]
  [inst_2 : CategoryTheory.MonoidalCategory V] {C : Type u} [inst_3 : CategoryTheory.Category.{v, u} C]
  [inst_4 : CategoryTheory.EnrichedOrdinaryCategory V C] {F G : CategoryTheory.Functor J C}
  [CategoryTheory.Enriched.HasConicalLimit V F] (e : F ≅ G), CategoryTheory.Enriched.HasConicalLimit V G

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

Defined in

Mathlib.CategoryTheory.Enriched.Limits.HasConicalLimits

Cited by

1 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.EnrichedOrdinaryCategoryCategoryTheory.Enriched.HasConicalLimit