Theorems · Theorem · group theory
IsAddTorsion.torsionAddEquiv_apply
∀ {G : Type u_1} [inst : AddCommMonoid G] (tG : IsAddTorsion G) (a : ↥(AddCommMonoid.addTorsion G)),
tG.torsionAddEquiv a = ↑((AddEquiv.addSubmonoidCongr ⋯) a)- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 44 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.
Cites10
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
- AddCommMonoidstatement and proof · cited by 12,281
- Top.topstatement · cited by 9,680
- AddSubmonoidstatement · cited by 1,178
- AddEquivstatement · cited by 1,087
- IsAddTorsionstatement and proof · cited by 42
- AddCommMonoid.addTorsionstatement and proof · cited by 12
- IsAddTorsion.torsionAddEquivstatement and proof · cited by 4
- IsAddTorsion.torsion_eq_topstatement · cited by 3
- AddEquiv.addSubmonoidCongrstatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddMonoid.IsTorsion.torsionAddEquiv_applyproof · cited by 0