Theorems · Definition · category theory

CategoryTheory.ObjectProperty.limitsOfShape

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    CategoryTheory.ObjectProperty C →
      (J : Type u') → [CategoryTheory.Category.{v', u'} J] → CategoryTheory.ObjectProperty C

The property of objects that are the point of a limit cone for a functor F : J ⥤ C where all objects F.obj j satisfy P.

Defined in

Mathlib.CategoryTheory.ObjectProperty.LimitsOfShape

Cited by

26 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category