Theorems · Definition · group theory
AddCommMonoid.Torsion.ofTorsion
(G : Type u_1) → [inst : AddCommMonoid G] → ↥(AddCommMonoid.addTorsion ↥(AddCommMonoid.addTorsion G)) ≃+ ↥(AddCommMonoid.addTorsion G)
Torsion additive submonoids of a torsion additive submonoid are isomorphic to the additive submonoid.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
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Cites6
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
- AddSubmonoidstatement · cited by 1,178
- AddEquivstatement · cited by 1,087
- AddCommMonoid.addTorsionstatement · cited by 12
- IsAddTorsion.torsionAddEquivproof · cited by 4
- AddCommMonoid.addTorsion.isAddTorsionproof · cited by 1
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