Theorems · Theorem · complex analysis
Complex.card_primitiveRoots
∀ (k : ℕ), (primitiveRoots k ℂ).card = k.totient
- Defined in
- Mathlib.RingTheory.RootsOfUnity.Complex
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- Finset.cardstatement and proof · cited by 2,327
- Nat.totientstatement and proof · cited by 111
- primitiveRootsstatement · cited by 57
- Complex.isPrimitiveRoot_expproof · cited by 14
- primitiveRoots_zeroproof · cited by 5
- IsPrimitiveRoot.card_primitiveRootsproof · cited by 4
- primitiveRoots.congr_simpproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.sub_one_pow_totient_lt_cyclotomic_evalproof · cited by 2
- Polynomial.cyclotomic_eval_lt_add_one_pow_totientproof · cited by 1