Theorems · Theorem · number theory
ArithmeticFunction.intCoe_mul
∀ {R : Type u_1} [inst : Ring R] {f g : ArithmeticFunction ℤ}, ↑(f * g) = ↑f * ↑g- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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
- Ringstatement and proof · cited by 7,463
- Finset.sumproof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- ArithmeticFunctionstatement and proof · cited by 290
- Int.cast_mulproof · cited by 113
- Nat.divisorsAntidiagonalproof · cited by 61
- ArithmeticFunction.extproof · cited by 29
- ArithmeticFunction.ofIntstatement · cited by 14
- Int.cast_sumproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.coe_zeta_mul_coe_moebiusproof · cited by 3
- ArithmeticFunction.coe_moebius_mul_coe_zetaproof · cited by 0