Theorems · Definition · category theory
CategoryTheory.AddMon.trivial
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] → [inst_1 : CategoryTheory.MonoidalCategory C] → CategoryTheory.AddMon CThe trivial additive monoid object. We later show this is initial in AddMon C
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitproof · cited by 1,384
- CategoryTheory.AddMonstatement · cited by 177
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMonproof · cited by 15
- CategoryTheory.AddGrp.trivialproof · cited by 5
- CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_functor_map_homstatement · cited by 0
- CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_functor_obj_addMon_addstatement · cited by 0
- CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnit_functor_obj_addMon_zerostatement · cited by 0
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMon_mapstatement · cited by 0
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMon_objstatement · cited by 0
- CategoryTheory.AddMon.trivial_Xstatement and proof · cited by 0
- CategoryTheory.AddMon.trivial_addMon_addstatement · cited by 0
- CategoryTheory.AddMon.isZero_trivialstatement and proof · cited by 0
- CategoryTheory.AddMon.trivial_addMon_zerostatement · cited by 0
- CategoryTheory.AddMon.uniqueHomFromTrivial_default_homstatement · cited by 0