Theorems · Definition · category theory
CategoryTheory.Comon.forget
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → CategoryTheory.Functor (CategoryTheory.Comon C) CThe forgetful functor from comonoid objects to the ambient category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Comonstatement and proof · cited by 125
- CategoryTheory.Comon.Xproof · cited by 105
- CategoryTheory.Comon.Hom.homproof · cited by 55
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.Bimon.ofMonComonproof · cited by 18
- CategoryTheory.Bimon.ofMonComonObjXproof · cited by 6
- CategoryTheory.comonEquivproof · cited by 4
- CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.inverseObjproof · cited by 3
- CategoryTheory.Bimon.toMonproof · cited by 1
- CategoryTheory.Bimon.ofMonComon_map_homstatement · cited by 0
- CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.inverseObj_Xstatement · cited by 0
- CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.inverseObj_comon_comul_appstatement · cited by 0
- CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.inverseObj_comon_counit_appstatement · cited by 0
- CategoryTheory.Bimon.toComon_forgetstatement · cited by 0
- CategoryTheory.Comon.forget_mapstatement and proof · cited by 0
- CategoryTheory.Comon.forget_objstatement and proof · cited by 0