Theorems · Theorem · group theory
CommGroup.isMulTorsionFree_iff_torsion_eq_bot
∀ {G : Type u_1} [inst : CommGroup G], IsMulTorsionFree G ↔ CommGroup.torsion G = ⊥- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroup
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement and proof · cited by 4,720
- Subgroupstatement · cited by 3,593
- CommGroupstatement and proof · cited by 990
- eq_bot_iffproof · cited by 159
- IsOfFinOrderproof · cited by 113
- SetLike.le_defproof · cited by 76
- IsMulTorsionFreestatement · cited by 44
- CommGroup.torsionstatement and proof · cited by 16
- isMulTorsionFree_iff_not_isOfFinOrderproof · cited by 2
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