Theorems · Theorem · category theory

CategoryTheory.Limits.IsLimit.conePointUniqueUpToIso_hom_comp

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {F : CategoryTheory.Functor J C} {s t : CategoryTheory.Limits.Cone F} (P : CategoryTheory.Limits.IsLimit s)
  (Q : CategoryTheory.Limits.IsLimit t) (j : J),
  CategoryTheory.CategoryStruct.comp (P.conePointUniqueUpToIso Q).hom (t.π.app j) = s.π.app j

Defined in

Mathlib.CategoryTheory.Limits.IsLimit

Cited by

33 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category