Theorems · Theorem · category theory

CategoryTheory.StructuredArrow.prodEquivalence_unitIso

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {C' : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} C'] {D' : Type u₄}
  [inst_3 : CategoryTheory.Category.{v₄, u₄} D'] (S : D) (S' : D') (T : CategoryTheory.Functor C D)
  (T' : CategoryTheory.Functor C' D'),
  (CategoryTheory.StructuredArrow.prodEquivalence S S' T T').unitIso =
    CategoryTheory.NatIso.ofComponents
      (fun f =>
        CategoryTheory.Iso.refl
          ((CategoryTheory.Functor.id (CategoryTheory.StructuredArrow (S, S') (T.prod T'))).obj f))
      ⋯

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category