Theorems · Theorem · category theory

CategoryTheory.Limits.Bicones.ext_hom_hom

∀ {J : Type w} {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C]
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {F : J → C} {c c' : CategoryTheory.Limits.Bicone F}
  (φ : c.pt ≅ c'.pt)
  (wι :
    autoParam (∀ (j : J), CategoryTheory.CategoryStruct.comp (c.ι j) φ.hom = c'.ι j)
      CategoryTheory.Limits.Bicones.ext._auto_1)
  (wπ :
    autoParam (∀ (j : J), CategoryTheory.CategoryStruct.comp φ.hom (c'.π j) = c.π j)
      CategoryTheory.Limits.Bicones.ext._auto_3),
  (CategoryTheory.Limits.Bicones.ext φ wι wπ).hom.hom = φ.hom

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Biproducts

Cited by

0 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms