Theorems · Definition · number theory
ArithmeticFunction.pow
ℕ → ArithmeticFunction ℕ
pow k n = n ^ k, except pow 0 0 = 0.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ArithmeticFunctionstatement · cited by 290
- ArithmeticFunction.ppowproof · cited by 6
- ArithmeticFunction.idproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- ArithmeticFunction.pow_applystatement · cited by 3
- ArithmeticFunction.zeta_mul_pow_eq_sigmastatement and proof · cited by 2
- ArithmeticFunction.isMultiplicative_powstatement · cited by 1
- ArithmeticFunction.pow_zero_eq_zetastatement · cited by 1
- ArithmeticFunction.pow_one_eq_idstatement · cited by 0