Theorems · Theorem · number theory
ArithmeticFunction.pow_apply
∀ {k n : ℕ}, (ArithmeticFunction.pow k) n = if k = 0 ∧ n = 0 then 0 else n ^ k- Cited by
- 3 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- pow_zeroproof · cited by 1,094
- ArithmeticFunctionstatement · cited by 290
- ArithmeticFunction.zetaproof · cited by 45
- ArithmeticFunction.powstatement · cited by 5
- ArithmeticFunction.natCoe_natproof · cited by 4
- ArithmeticFunction.ppow_applyproof · cited by 3
- ArithmeticFunction.ppow_zeroproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- ArithmeticFunction.zeta_mul_pow_eq_sigmaproof · cited by 2
- ArithmeticFunction.pow_zero_eq_zetaproof · cited by 1
- ArithmeticFunction.pow_one_eq_idproof · cited by 0