Theorems · Theorem · group theory
two_nsmul_eq_zero
∀ {M : Type u_1} [inst : AddMonoid M] [IsAddTorsionFree M] {a : M}, 2 • a = 0 ↔ a = 0- Defined in
- Mathlib.Algebra.Group.Torsion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoidIsAddTorsionFree
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- IsAddTorsionFreestatement and proof · cited by 155
- nsmul_eq_zero_iff_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- self_eq_negproof · cited by 5