Theorems · Theorem · ring theory
IsMulTorsionFree.pow_right_injective
∀ {M : Type u_2} [inst : CancelMonoid M] [IsMulTorsionFree M] {x : M}, x ≠ 1 → Function.Injective fun n => x ^ n- Defined in
- Mathlib.Algebra.Ring.NonZeroDivisors
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CancelMonoidIsMulTorsionFree
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsMulTorsionFreestatement and proof · cited by 44
- CancelMonoidstatement and proof · cited by 20
- IsLeftRegular.allproof · cited by 4
- IsLeftRegular.pow_injectiveproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IsMulTorsionFree.pow_right_injproof · cited by 0