Theorems · Definition · group theory
AddCommMonoid.addTorsion
(G : Type u_1) → [inst : AddCommMonoid G] → AddSubmonoid G
The torsion additive submonoid of an additive commutative monoid.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
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.
- AddCommMonoidstatement and proof · cited by 12,281
- Set.ofPredproof · cited by 6,101
- AddSubmonoidstatement · cited by 1,178
- IsOfFinAddOrderproof · cited by 105
- IsOfFinAddOrder.addproof · cited by 0
Cited by16
Results whose statement or proof uses this declaration.
- AddCommGroup.torsionproof · cited by 18
- IsAddTorsion.torsionAddEquivstatement · cited by 4
- IsAddTorsion.torsion_eq_topstatement and proof · cited by 3
- AddCommMonoid.addTorsion.isAddTorsionstatement and proof · cited by 1
- AddCommGroup.torsion_eq_torsion_addSubmonoidstatement · cited by 1
- IsAddTorsion.torsionAddEquiv_applystatement and proof · cited by 1
- IsAddTorsion.torsionAddEquiv_symm_apply_coestatement · cited by 1
- AddCommMonoid.mem_torsionstatement · cited by 1
- AddMonoid.IsTorsion.torsionAddEquivstatement · cited by 0
- AddMonoid.IsTorsion.torsionAddEquiv_applystatement · cited by 0
- AddMonoid.IsTorsion.torsionAddEquiv_symm_apply_coestatement · cited by 0
- AddMonoid.IsTorsion.torsion_eq_topstatement · cited by 0