Theorems · Theorem · category theory

AddCommGrpCat.Colimits.Quot.desc_quotQuotUliftAddEquiv

∀ {J : Type u} [inst : CategoryTheory.Category.{v, u} J] (F : CategoryTheory.Functor J AddCommGrpCat)
  [inst_1 : DecidableEq J] (c : CategoryTheory.Limits.Cocone F),
  (AddCommGrpCat.Colimits.Quot.desc (F.comp AddCommGrpCat.uliftFunctor) (AddCommGrpCat.uliftFunctor.mapCocone c)).comp
      (AddCommGrpCat.Colimits.quotQuotUliftAddEquiv F).toAddMonoidHom =
    AddEquiv.ulift.symm.toAddMonoidHom.comp (AddCommGrpCat.Colimits.Quot.desc F c)

Defined in

Mathlib.Algebra.Category.Grp.Colimits

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryDecidableEq