Theorems · Theorem · category theory
AddMonCat.equivalence_functor_map
∀ {X Y : AddMonCat} (f : X ⟶ Y),
AddMonCat.equivalence.functor.map f = MonCat.ofHom (AddMonoidHom.toMultiplicative (AddMonCat.Hom.hom f))- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Equivstatement · cited by 8,337
- MonoidHomstatement · cited by 3,629
- AddMonoidHomstatement · cited by 3,230
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- Multiplicativestatement · cited by 875
- MonCatstatement · cited by 127
- AddMonCatstatement and proof · cited by 71
- AddMonCat.carrierstatement · cited by 60
- MonCat.ofHomstatement · cited by 24
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.