Theorems · Theorem · group theory
nsmul_inj_mod
∀ {G : Type u_1} [inst : AddLeftCancelMonoid 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 47 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddLeftCancelMonoid
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Cites3
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- addOrderOfstatement · cited by 208
- AddLeftCancelMonoidstatement and proof · cited by 37
- nsmul_eq_nsmul_iff_modEqproof · cited by 4
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