Theorems · Theorem · number theory
ArithmeticFunction.coe_zeta_mul_comm
∀ {R : Type u_1} [inst : Semiring R] {f : ArithmeticFunction R},
↑ArithmeticFunction.zeta * f = f * ↑ArithmeticFunction.zeta- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finset.sumproof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- NonAssocSemiringproof · cited by 805
- ArithmeticFunctionstatement and proof · cited by 290
- Nat.divisorsproof · cited by 137
- Commute.eqproof · cited by 91
- Nat.divisorsAntidiagonalproof · cited by 61
- ArithmeticFunction.zetastatement and proof · cited by 45
- ArithmeticFunction.natToArithmeticFunctionstatement · cited by 30
- ArithmeticFunction.extproof · cited by 29
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.coe_mul_zeta_applyproof · cited by 4
- ArithmeticFunction.zeta_mul_commproof · cited by 0