Theorems · Definition · category theory

AddCommGrpCat.Colimits.Relations

{J : Type u} →
  [inst : CategoryTheory.Category.{v, u} J] →
    (F : CategoryTheory.Functor J AddCommGrpCat) → [DecidableEq J] → AddSubgroup (Π₀ (j : J), ↑(F.obj j))

The relations between elements of the direct sum of the F.obj j given by the morphisms in the diagram J.

Defined in

Mathlib.Algebra.Category.Grp.Colimits

Cited by

5 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryDecidableEq