Theorems · Theorem · group theory
IsUnit.isOfFinOrder
∀ {G : Type u_1} [inst : Monoid G] [Finite Gˣ] {x : G}, IsUnit x → IsOfFinOrder xAlias of the reverse direction of isOfFinOrder_iff_isUnit.
- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- Finitestatement and proof · cited by 3,029
- Unitsstatement and proof · cited by 2,804
- IsUnitstatement · cited by 1,602
- IsOfFinOrderstatement · cited by 113
- isOfFinOrder_iff_isUnitproof · cited by 1
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