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Theorems · Theorem · number theory

IsPrimitiveRoot.not_iff

∀ {M : Type u_1} [inst : CommMonoid M] {k : ℕ} {ζ : M}, ¬IsPrimitiveRoot ζ k ↔ orderOf ζ ≠ k
Defined in
Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots
Cited by
1 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoid
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Around this declaration

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

IsPrimitiveRoot.iff_orderOf · cited by 2IsPrimitiveRoot.iff_order…CommMonoid · cited by 2264CommMonoidIsPrimitiveRoot · cited by 356IsPrimitiveRootorderOf · cited by 324orderOfIsPrimitiveRoot.orderOf · cited by 10IsPrimitiveRoot.orderOfIsPrimitiveRoot.unique · cited by 8IsPrimitiveRoot.uniqueIsPrimitiveRoot.not_iffCITED BYCITES

Cites5

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Cited by1

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