Theorems · Theorem · group theory
AddCommMonoid.addTorsion.isAddTorsion
∀ {G : Type u_1} [inst : AddCommMonoid G], IsAddTorsion ↥(AddCommMonoid.addTorsion G)Torsion additive submonoids are torsion.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 43 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.
Cites11
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
- add_zeroproof · cited by 2,707
- AddSubmonoidstatement · cited by 1,178
- IsOfFinAddOrderproof · cited by 105
- Subtype.coe_mkproof · cited by 81
- Function.IsPeriodicPtproof · cited by 68
- IsAddTorsionstatement · cited by 42
- AddCommMonoid.addTorsionstatement and proof · cited by 12
- add_left_iterateproof · cited by 10
- isPeriodicPt_add_iff_nsmul_eq_zeroproof · cited by 10
- AddSubmonoidClass.coe_nsmulproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AddCommMonoid.Torsion.ofTorsionproof · cited by 0
- AddCommMonoid.addTorsion.isTorsionproof · cited by 0