Theorems · Theorem · category theory

CategoryTheory.Limits.prodComparisonNatIso_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{w, u₂} D]
  (F : CategoryTheory.Functor C D) [inst_2 : CategoryTheory.Limits.HasBinaryProducts C]
  [inst_3 : CategoryTheory.Limits.HasBinaryProducts D] (A : C)
  [inst_4 : ∀ (B : C), CategoryTheory.IsIso (CategoryTheory.Limits.prodComparison F A B)],
  (CategoryTheory.Limits.prodComparisonNatIso F A).inv =
    (CategoryTheory.asIso { app := fun B => CategoryTheory.Limits.prodComparison F A B, naturality := ⋯ }).inv

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts

Cited by

0 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasBinaryProductsCategoryTheory.Limits.HasBinaryProductsCategoryTheory.IsIso