Theorems · Theorem · group theory
AddMonoidHom.exponent_dvd
∀ {F : Type u_1} {M₁ : Type u_2} {M₂ : Type u_3} [inst : AddMonoid M₁] [inst_1 : AddMonoid M₂]
[inst_2 : FunLike F M₁ M₂] [AddMonoidHomClass F M₁ M₂] {f : F},
Function.Surjective ⇑f → AddMonoid.exponent M₂ ∣ AddMonoid.exponent M₁- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddMonoidstatement and proof · cited by 2,864
- FunLikestatement and proof · cited by 2,560
- map_zeroproof · cited by 1,614
- AddMonoidHomClassstatement and proof · cited by 252
- AddMonoid.exponentstatement and proof · cited by 70
- map_nsmulproof · cited by 41
- AddMonoid.exponent_nsmul_eq_zeroproof · cited by 12
- AddMonoid.exponent_dvd_of_forall_nsmul_eq_zeroproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- AddGroup.isAddCyclic_of_coprime_card_range_card_kerproof · cited by 1
- AddMonoid.exponent_prodproof · cited by 1
- AddGroup.exponent_quotient_dvdproof · cited by 0
- AddMonoid.exponent_piproof · cited by 0