IsPrimitiveRoot.card_nthRoots_one

∀ {R : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R] {ζ : R} {n : ℕ},
  IsPrimitiveRoot ζ n → (Polynomial.nthRoots n 1).card = n

The cardinality of the multiset nthRoots ↑n (1 : R) is n if there is a primitive root of unity in R.

Defined in: Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots
Cited by: 3 results in Mathlib
Foundations: Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsDomain

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