Mathlib Map

Theorems · Definition · number theory

ArithmeticFunction.ppow

{R : Type u_1} → [inst : Semiring R] → ArithmeticFunction R → ℕ → ArithmeticFunction R

This is the pointwise power of ArithmeticFunctions.

Defined in
Mathlib.NumberTheory.ArithmeticFunction.Zeta
Cited by
6 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext
Assumes
Semiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ArithmeticFunction.pow · cited by 5ArithmeticFunction.powArithmeticFunction.ppow_apply · cited by 3ArithmeticFunction.ppow_a…ArithmeticFunction.ppow_zero · cited by 3ArithmeticFunction.ppow_z…ArithmeticFunction.ppow_succ' · cited by 1ArithmeticFunction.ppow_s…ArithmeticFunction.IsMultiplicative.ppow · cited by 1IsMultiplicative.ppowArithmeticFunction.ppow_one · cited by 0ArithmeticFunction.ppow_o…ArithmeticFunction.ppow_succ · cited by 0ArithmeticFunction.ppow_s…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringArithmeticFunction · cited by 290ArithmeticFunctionArithmeticFunction.zeta · cited by 45ArithmeticFunction.zetaArithmeticFunction.natToArithmeticFunction · cited by 30ArithmeticFunction.natToA…ArithmeticFunction.ppowCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.