Theorems · Theorem · number theory
ArithmeticFunction.zeta_pmul
∀ {R : Type u_1} [inst : NonAssocSemiring R] (f : ArithmeticFunction R), (↑ArithmeticFunction.zeta).pmul f = f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- NonAssocSemiringstatement and proof · cited by 805
- ArithmeticFunctionstatement and proof · cited by 290
- ArithmeticFunction.zetastatement · cited by 45
- ArithmeticFunction.map_zeroproof · cited by 34
- ArithmeticFunction.natToArithmeticFunctionstatement · cited by 30
- ArithmeticFunction.extproof · cited by 29
- ArithmeticFunction.pmulstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.ppow_succproof · cited by 0