Theorems · Theorem · category theory
AddCommGrpCat.hasColimit_of_small_quot
∀ {J : Type u} [inst : CategoryTheory.Category.{v, u} J] (F : CategoryTheory.Functor J AddCommGrpCat)
[inst_1 : DecidableEq J], Small.{w, max u w} (AddCommGrpCat.Colimits.Quot F) → CategoryTheory.Limits.HasColimit F- Defined in
- Mathlib.Algebra.Category.Grp.Colimits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- AddCommGrpCatstatement and proof · cited by 462
- Smallstatement and proof · cited by 369
- CategoryTheory.Limits.HasColimitstatement · cited by 307
- AddCommGrpCat.Colimits.Quotstatement and proof · cited by 16
- AddCommGrpCat.Colimits.colimitCoconeproof · cited by 4
- AddCommGrpCat.Colimits.colimitCoconeIsColimitproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddCommGrpCat.hasColimit_iff_small_quotproof · cited by 0