Theorems · Theorem · group theory
AddRightCancelMonoid.nsmul_inj_mod
∀ {G : Type u_1} [inst : AddRightCancelMonoid G] {x : G} {n m : ℕ}, n • x = m • x ↔ n % addOrderOf x = m % addOrderOf x- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddRightCancelMonoid
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Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- addOrderOfstatement · cited by 208
- AddRightCancelMonoidstatement and proof · cited by 25
- AddRightCancelMonoid.nsmul_eq_nsmul_iff_modEqproof · cited by 3
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