Theorems · Theorem · number theory
ArithmeticFunction.isMultiplicative_eulerProduct
∀ {ι : Type u_1} {R : Type u_2} [inst : CommSemiring R] (f : ι → ArithmeticFunction R),
(∀ (i : ι), (f i).IsMultiplicative) → (ArithmeticFunction.eulerProduct f).IsMultiplicative- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetproof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- Filter.Eventuallyproof · cited by 3,134
- Finset.prodproof · cited by 2,356
- SummationFilter.unconditionalproof · cited by 2,068
- Filter.EventuallyEq.symmproof · cited by 408
- ArithmeticFunctionstatement and proof · cited by 290
- tprodproof · cited by 230
- Multipliableproof · cited by 213
- Filter.EventuallyEq.transproof · cited by 123
- SummationFilter.filterproof · cited by 110
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