Theorems · Theorem · group theory
AddMonoid.IsTorsion.torsionAddEquiv_apply
Deprecated since 2026-07-01Use IsAddTorsion.torsionAddEquiv_apply instead.
∀ {G : Type u_1} [inst : AddCommMonoid G] (tG : IsAddTorsion G) (a : ↥(AddCommMonoid.addTorsion G)),
tG.torsionAddEquiv a = ↑((AddEquiv.addSubmonoidCongr ⋯) a)Alias of IsAddTorsion.torsionAddEquiv_apply.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 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.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement · cited by 12,281
- Top.topstatement · cited by 9,680
- AddSubmonoidstatement · cited by 1,178
- AddEquivstatement · cited by 1,087
- IsAddTorsionstatement · cited by 42
- AddCommMonoid.addTorsionstatement · cited by 12
- IsAddTorsion.torsionAddEquivstatement · cited by 4
- IsAddTorsion.torsion_eq_topstatement · cited by 3
- AddEquiv.addSubmonoidCongrstatement · cited by 3
- IsAddTorsion.torsionAddEquiv_applyproof · cited by 1
Cited by0
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