Theorems · Theorem · category theory

CategoryTheory.Limits.Cone.toStructuredArrowCompProj_inv_app

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {F : CategoryTheory.Functor J C} (c : CategoryTheory.Limits.Cone F) (X : J),
  c.toStructuredArrowCompProj.inv.app X = CategoryTheory.CategoryStruct.id X

Defined in

Mathlib.CategoryTheory.Limits.ConeCategory

Cited by

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Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category