Theorems · Inductive type · category theory

CategoryTheory.ObjectProperty.ColimitOfShape

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

A structure expressing that X : C is the colimit of a functor diag : J ⥤ C such that P (diag.obj j) holds for all j.

Defined in

Mathlib.CategoryTheory.ObjectProperty.ColimitsOfShape

Cited by

30 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category