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Theorems · Theorem · group theory

QuaternionGroup.card

∀ {n : ℕ} [inst : NeZero n], Fintype.card (QuaternionGroup n) = 4 * n

If 0 < n, then QuaternionGroup n has 4n elements.

Defined in
Mathlib.GroupTheory.SpecificGroups.Quaternion
Cited by
1 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NeZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

QuaternionGroup.quaternionGroup_one_isCyclic · cited by 0QuaternionGroup.quaternio…Fintype.card · cited by 1386Fintype.cardtwo_mul · cited by 232two_mulZMod.card · cited by 36ZMod.cardQuaternionGroup · cited by 22QuaternionGroupFintype.card_eq · cited by 19Fintype.card_eqFintype.card_sum · cited by 12Fintype.card_sumQuaternionGroup.cardCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.