Theorems · Theorem · category theory
AddCommGrpCat.asHom_hom_apply
∀ {G : AddCommGrpCat} (g : ↑G) (n : ℤ), (AddCommGrpCat.Hom.hom (AddCommGrpCat.asHom g)) n = n • g- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 44 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.
- DFunLike.coestatement and proof · cited by 62,936
- AddMonoidHomstatement · cited by 3,230
- AddCommGrpCatstatement and proof · cited by 462
- AddCommGrpCat.carrierstatement and proof · cited by 407
- AddCommGrpCat.ofstatement · cited by 97
- AddCommGrpCat.Hom.homstatement and proof · cited by 72
- AddCommGrpCat.asHomstatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- AddCommGrpCat.asHom_injectiveproof · cited by 1
- AddCommGrpCat.injective_of_monoproof · cited by 0