Theorems · Definition · number theory
Nat.totient
ℕ → ℕ
Euler's totient function. This counts the number of naturals strictly less than n which are
coprime with n.
- Defined in
- Mathlib.Data.Nat.Totient
- Cited by
- 111 results in Mathlib
- Foundations
- Depth 54 from the axioms, rests on 775 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.cardproof · cited by 2,327
- Finset.rangeproof · cited by 1,341
- Finset.filterproof · cited by 949
Cited by112
Results whose statement or proof uses this declaration.
- ZMod.card_units_eq_totientstatement · cited by 15
- Nat.totient_posstatement · cited by 14
- Nat.totient_prime_powstatement · cited by 13
- IsCyclotomicExtension.finrankstatement and proof · cited by 12
- Polynomial.natDegree_cyclotomicstatement and proof · cited by 12
- Nat.totient_primestatement and proof · cited by 11
- ArithmeticFunction.vonMangoldt.LFunctionResidueClassAuxproof · cited by 6
- Nat.totient_mulstatement and proof · cited by 5
- Nat.totient_twostatement · cited by 5
- IsCyclotomicExtension.Rat.finrankstatement · cited by 4
- IsCyclotomicExtension.Rat.nrComplexPlaces_eq_totient_div_twostatement and proof · cited by 4
- Nat.totient_evenstatement · cited by 4