Theorems · Theorem · group theory
multiplesHom_apply
∀ {M : Type u_1} [inst : AddMonoid M] (x : M) (n : ℕ), ((multiplesHom M) x) n = n • x- Defined in
- Mathlib.Algebra.Group.Nat.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- AddMonoidHomstatement · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- multiplesHomstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoidHom.apply_natproof · cited by 0