Theorems · Theorem · category theory
CategoryTheory.isCoseparator_iff_faithful_preadditiveYoneda
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] (G : C),
CategoryTheory.IsCoseparator G ↔ (CategoryTheory.preadditiveYoneda.obj G).Faithful- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- AddCommGrpCatstatement and proof · cited by 462
- CategoryTheory.forgetproof · cited by 418
- CategoryTheory.Functor.Faithfulstatement and proof · cited by 313
- CategoryTheory.Functor.whiskeringRightproof · cited by 221
- CategoryTheory.IsCoseparatorstatement · cited by 28
- CategoryTheory.preadditiveYonedastatement and proof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.isCoseparator_iff_faithful_preadditiveYonedaObjproof · cited by 0