Theorems · Theorem · number theory
ArithmeticFunction.sigma_one_apply
∀ (n : ℕ), (ArithmeticFunction.sigma 1) n = ∑ d ∈ n.divisors, d
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finset.sumstatement and proof · cited by 5,195
- Finset.sum_congrproof · cited by 2,323
- pow_oneproof · cited by 894
- ArithmeticFunctionstatement · cited by 290
- Nat.divisorsstatement and proof · cited by 137
- ArithmeticFunction.sigmastatement · cited by 40
Cited by1
Results whose statement or proof uses this declaration.
- Nat.sum_divisorsproof · cited by 0