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Theorems · Definition · category theory

CategoryTheory.yonedaAddMonFullyFaithful

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v, u_1} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] → CategoryTheory.yonedaAddMon.FullyFaithful

The yoneda embedding for AddMon C is fully faithful.

Defined in
Mathlib.CategoryTheory.Monoidal.Cartesian.Mon
Cited by
0 results in Mathlib
Foundations
Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.yonedaAddGrpFullyFaithful · cited by 0CategoryTheory.yonedaAddG…DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homCategoryTheory.CartesianMonoidalCategory · cited by 947CategoryTheory.CartesianM…CategoryTheory.AddMon · cited by 177CategoryTheory.AddMonCategoryTheory.AddMon.X · cited by 126AddMon.XCategoryTheory.Functor.FullyFaithful · cited by 87Functor.FullyFaithfulAddMonCat · cited by 71AddMonCatCategoryTheory.yonedaAddMon · cited by 8CategoryTheory.yonedaAddM…CategoryTheory.yonedaAddMonFu…CITED BYCITES

Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.