Theorems · Theorem · category theory

CategoryTheory.StructuredArrow.mapIso_inverse_obj_left

∀ {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} (i : S ≅ S')
  (X : CategoryTheory.Comma (CategoryTheory.Functor.fromPUnit S') T),
  ((CategoryTheory.StructuredArrow.mapIso i).inverse.obj X).left = X.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