Theorems · Theorem · group theory
exists_zsmul_eq_zero
∀ {G : Type u_1} [inst : AddGroup G] [Finite G] (x : G), ∃ i, ∃ (_ : i ≠ 0), i • x = 0- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- Finitestatement and proof · cited by 3,029
- ne_of_gtproof · cited by 637
- natCast_zsmulproof · cited by 118
- Function.IsPeriodicPtproof · cited by 68
- isPeriodicPt_add_iff_nsmul_eq_zeroproof · cited by 10
- isOfFinAddOrder_of_finiteproof · cited by 10
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