Theorems · Theorem · number theory
ArithmeticFunction.ppow_succ
∀ {R : Type u_1} [inst : Semiring R] {f : ArithmeticFunction R} {k : ℕ} {kpos : 0 < k},
f.ppow (k + 1) = (f.ppow k).pmul f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
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Cites12
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
- one_mulproof · cited by 2,841
- pow_zeroproof · cited by 1,094
- pow_succproof · cited by 374
- ArithmeticFunctionstatement and proof · cited by 290
- ArithmeticFunction.extproof · cited by 29
- ArithmeticFunction.pmulstatement and proof · cited by 9
- ArithmeticFunction.ppowstatement and proof · cited by 6
- ArithmeticFunction.ppow_applyproof · cited by 3
- ArithmeticFunction.ppow_zeroproof · cited by 3
- ArithmeticFunction.zeta_pmulproof · cited by 1
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