Theorems · Theorem · number theory
ArithmeticFunction.IsMultiplicative.pdiv
∀ {R : Type u_1} [inst : CommGroupWithZero R] {f g : ArithmeticFunction R},
f.IsMultiplicative → g.IsMultiplicative → (f.pdiv g).IsMultiplicative- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommGroupWithZero
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- div_eq_mul_invproof · cited by 715
- ArithmeticFunctionstatement and proof · cited by 290
- div_selfproof · cited by 237
- CommGroupWithZerostatement and proof · cited by 94
- mul_mul_mul_commproof · cited by 65
- mul_invproof · cited by 50
- ArithmeticFunction.IsMultiplicativestatement and proof · cited by 45
- ArithmeticFunction.IsMultiplicative.map_mul_of_coprimeproof · cited by 9
- ArithmeticFunction.IsMultiplicative.map_oneproof · cited by 8
- ArithmeticFunction.pdivstatement · cited by 3
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