Theorems · Definition · category theory
AddCommGrpCat.homAddEquiv
{M N : AddCommGrpCat} → (M ⟶ N) ≃+ (↑M →+ ↑N)AddCommGrpCat.Hom.hom bundled as an additive equivalence.
- Defined in
- Mathlib.Algebra.Category.Grp.Preadditive
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Equivproof · cited by 8,337
- AddMonoidHomstatement · cited by 3,230
- AddEquivstatement · cited by 1,087
- AddCommGrpCatstatement and proof · cited by 462
- AddCommGrpCat.carrierstatement · cited by 407
- CategoryTheory.ToHomproof · cited by 6
- CategoryTheory.ConcreteCategory.homEquivproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- AddCommGrpCat.uliftZMultiplesAddEquivproof · cited by 3
- AddCommGrpCat.uliftZMultiplesAddEquiv_applystatement · cited by 0
- AddCommGrpCat.homAddEquiv_applystatement and proof · cited by 0
- AddCommGrpCat.homAddEquiv_symm_apply_homstatement and proof · cited by 0
- AddCommGrpCat.preadditiveCoyonedaIsoproof · cited by 0