Theorems · Theorem · group theory
AddMonoid.IsTorsion.torsion_eq_top
Deprecated since 2026-07-01Use IsAddTorsion.torsion_eq_top instead.
∀ {G : Type u_1} [inst : AddCommMonoid G], IsAddTorsion G → AddCommMonoid.addTorsion G = ⊤Alias of IsAddTorsion.torsion_eq_top.
The torsion additive submonoid of a torsion additive monoid is ⊤.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement · cited by 12,281
- Top.topstatement · cited by 9,680
- AddSubmonoidstatement · cited by 1,178
- IsAddTorsionstatement · cited by 42
- AddCommMonoid.addTorsionstatement · cited by 12
- IsAddTorsion.torsion_eq_topproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.