Theorems · Theorem · group theory
orderOf_ne_zero_iff
∀ {G : Type u_1} [inst : Monoid G] {x : G}, orderOf x ≠ 0 ↔ IsOfFinOrder x- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
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Cites5
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
- orderOfstatement · cited by 324
- IsOfFinOrderstatement · cited by 113
- Iff.not_leftproof · cited by 49
- orderOf_eq_zero_iffproof · cited by 8
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