Theorems · Theorem · group theory
pow_left_injective
∀ {M : Type u_1} [inst : Monoid M] [IsMulTorsionFree M] {n : ℕ}, n ≠ 0 → Function.Injective fun a => a ^ n- Defined in
- Mathlib.Algebra.Group.Torsion
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- MonoidIsMulTorsionFree
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.
- Monoidstatement and proof · cited by 3,887
- IsMulTorsionFreestatement and proof · cited by 44
- IsMulTorsionFree.pow_left_injectiveproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- not_isOfFinOrder_of_isMulTorsionFreeproof · cited by 4
- pow_left_injproof · cited by 2
- zpow_left_injectiveproof · cited by 1