Theorems · Theorem · number theory
ArithmeticFunction.sigma_zero_apply_prime_pow
∀ {p i : ℕ}, Nat.Prime p → (ArithmeticFunction.sigma 0) (p ^ i) = i + 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- mul_oneproof · cited by 3,885
- Finset.sum_congrproof · cited by 2,323
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.Primestatement and proof · cited by 2,059
- Finset.rangeproof · cited by 1,341
- pow_zeroproof · cited by 1,094
- ArithmeticFunctionstatement · cited by 290
- Finset.sum_constproof · cited by 254
- Finset.card_rangeproof · cited by 108
- ArithmeticFunction.sigmastatement · cited by 40
- ArithmeticFunction.sigma_apply_prime_powproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Nat.card_divisorsproof · cited by 0