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Theorems · Theorem · number theory

IsPrimitiveRoot.mk_of_lt

∀ {M : Type u_1} [inst : CommMonoid M] {k : ℕ} (ζ : M),
  0 < k → ζ ^ k = 1 → (∀ (l : ℕ), 0 < l → l < k → ζ ^ l ≠ 1) → IsPrimitiveRoot ζ k
Defined in
Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots
Cited by
2 results in Mathlib
Foundations
Depth 40 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.

Complex.isPrimitiveRoot_I · cited by 1Complex.isPrimitiveRoot_IIsPrimitiveRoot.iff · cited by 0IsPrimitiveRoot.iffCommMonoid · cited by 2264CommMonoidIsPrimitiveRoot · cited by 356IsPrimitiveRootLE.le.eq_of_not_lt · cited by 25le.eq_of_not_ltIsPrimitiveRoot.mk_of_ltCITED BYCITES

Cites3

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Cited by2

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