Theorems · Definition · category theory

CategoryTheory.StructuredArrow.mapIso

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

An isomorphism S ≅ S' induces an equivalence StructuredArrow S T ≌ StructuredArrow 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