Theorems · Theorem · group theory
AddMonoid.IsTorsion.module_of_torsion
Deprecated since 2026-07-01Use IsAddTorsion.module_of_torsion instead.
∀ (R : Type u_3) (M : Type u_4) [inst : AddCommMonoid M] [inst_1 : Semiring R] [Module R M], IsAddTorsion R → IsAddTorsion M
Alias of IsAddTorsion.module_of_torsion.
A module whose scalars are torsion is torsion.
- Defined in
- Mathlib.GroupTheory.Torsion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidSemiringModule
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- Modulestatement · cited by 20,661
- Semiringstatement · cited by 13,802
- AddCommMonoidstatement · cited by 12,281
- IsAddTorsionstatement · cited by 42
- IsAddTorsion.module_of_torsionproof · cited by 2
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