Mathlib Map

Theorems · Theorem · number theory

ArithmeticFunction.isMultiplicative_sigma

∀ {k : ℕ}, (ArithmeticFunction.sigma k).IsMultiplicative
Defined in
Mathlib.NumberTheory.ArithmeticFunction.Misc
Cited by
5 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Nat.sum_divisors · cited by 0Nat.sum_divisorsNat.Coprime.sum_divisors_mul · cited by 0Coprime.sum_divisors_mulArithmeticFunction.sigma_eq_prod_primeFactors_sum_range_factorization_pow_mul · cited by 0ArithmeticFunction.sigma_…Nat.Coprime.card_divisors_mul · cited by 0Coprime.card_divisors_mulNat.card_divisors · cited by 0Nat.card_divisorsArithmeticFunction · cited by 290ArithmeticFunctionArithmeticFunction.IsMultiplicative · cited by 45ArithmeticFunction.IsMult…ArithmeticFunction.sigma · cited by 40ArithmeticFunction.sigmaArithmeticFunction.IsMultiplicative.mul · cited by 5IsMultiplicative.mulArithmeticFunction.isMultiplicative_zeta · cited by 5ArithmeticFunction.isMult…ArithmeticFunction.zeta_mul_pow_eq_sigma · cited by 2ArithmeticFunction.zeta_m…ArithmeticFunction.isMultiplicative_pow · cited by 1ArithmeticFunction.isMult…ArithmeticFunction.isMultipli…CITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.