Theorems · Definition · category theory

AddCommGrpCat.Colimits.colimitCocone

{J : Type u} →
  [inst : CategoryTheory.Category.{v, u} J] →
    (F : CategoryTheory.Functor J AddCommGrpCat) →
      [inst_1 : DecidableEq J] → [Small.{w, max w u} (AddCommGrpCat.Colimits.Quot F)] → CategoryTheory.Limits.Cocone F

(internal implementation) The colimit cocone of a functor F, implemented as a quotient of DFinsupp (fun j ↦ F.obj j), under the assumption that said quotient is small.

Defined in

Mathlib.Algebra.Category.Grp.Colimits

Cited by

4 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryDecidableEqSmall