Theorems · Theorem · group theory
AddMonoid.nsmul_eq_mod_exponent
∀ {G : Type u} [inst : AddMonoid G] {n : ℕ} (g : G), n • g = (n % AddMonoid.exponent G) • g- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
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.
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- nsmul_zeroproof · cited by 73
- AddMonoid.exponentstatement and proof · cited by 70
- add_nsmulproof · cited by 44
- mul_nsmulproof · cited by 24
- AddMonoid.exponent_nsmul_eq_zeroproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.exponent_dvd_iff_forall_nsmul_eq_zeroproof · cited by 4