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Theorems · Theorem · group theory

Pi.orderOf

∀ {ι : Type u_6} {α : ι → Type u_7} [inst : (i : ι) → Monoid (α i)] [inst_1 : Fintype ι] (x : (i : ι) → α i),
  orderOf x = Finset.univ.lcm fun i => orderOf (x i)
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
1 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidFintype
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsOfFinOrder.pi · cited by 0IsOfFinOrder.piFintype · cited by 7736FintypeMonoid · cited by 3887MonoidFinset.univ · cited by 3473Finset.univorderOf · cited by 324orderOfFinset.lcm · cited by 37Finset.lcmFunction.minimalPeriod_piMap_fintype · cited by 2Function.minimalPeriod_pi…Pi.orderOfCITED BYCITES

Cites6

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Cited by1

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