Theorems · Definition · category theory

CategoryTheory.CostructuredArrow.mapNatIso

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {T : D} →
          {S S' : CategoryTheory.Functor C D} →
            (S ≅ S') → (CategoryTheory.CostructuredArrow S T ≌ CategoryTheory.CostructuredArrow S' T)

A natural isomorphism S ≅ S' induces an equivalence CostrucutredArrow S T ≌ CostructuredArrow S' T.

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

16 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category