Theorems · Definition · category theory

CategoryTheory.CostructuredArrow.eta

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {T : D} →
          {S : CategoryTheory.Functor C D} →
            (f : CategoryTheory.CostructuredArrow S T) → f ≅ CategoryTheory.CostructuredArrow.mk f.hom

Eta rule for costructured arrows.

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

3 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category