Theorems · Theorem · category theory

CategoryTheory.CostructuredArrow.mapIso_functor_map_left

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {T T' : D} {S : CategoryTheory.Functor C D} (i : T ≅ T')
  {Y X : CategoryTheory.Comma S (CategoryTheory.Functor.fromPUnit T)} (f : Y ⟶ X),
  ((CategoryTheory.CostructuredArrow.mapIso i).functor.map f).left = f.left

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category