Theorems · Definition · number theory
ArithmeticFunction.IsMultiplicative
{R : Type u_1} → [inst : MonoidWithZero R] → ArithmeticFunction R → PropMultiplicative functions
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
- Assumes
- MonoidWithZero
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.
- DFunLike.coeproof · cited by 62,936
- MonoidWithZerostatement and proof · cited by 456
- ArithmeticFunctionstatement and proof · cited by 290
Cited by50
Results whose statement or proof uses this declaration.
- ArithmeticFunction.IsMultiplicative.map_mul_of_coprimestatement and proof · cited by 9
- ArithmeticFunction.IsMultiplicative.map_onestatement and proof · cited by 8
- ArithmeticFunction.IsMultiplicative.multiplicative_factorizationstatement and proof · cited by 6
- ArithmeticFunction.IsMultiplicative.iff_ne_zerostatement · cited by 5
- ArithmeticFunction.IsMultiplicative.mulstatement and proof · cited by 5
- ArithmeticFunction.isMultiplicative_sigmastatement and proof · cited by 5
- ArithmeticFunction.isMultiplicative_zetastatement · cited by 5
- ArithmeticFunction.IsMultiplicative.natCaststatement and proof · cited by 4
- BoundingSieve.nu_multstatement · cited by 4
- ArithmeticFunction.IsMultiplicative.map_prod_of_subset_primeFactorsstatement and proof · cited by 3
- ArithmeticFunction.IsMultiplicative.pmulstatement and proof · cited by 3
- ArithmeticFunction.IsMultiplicative.lcm_apply_mul_gcd_applystatement and proof · cited by 2