Theorems · Theorem · number theory
mahler_natCast_eq
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (k n : ℕ), (mahler k) ↑n = ↑(n.choose k)The function mahler k extends n ↦ n.choose k on ℕ.
- Defined in
- Mathlib.NumberTheory.Padics.MahlerBasis
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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 · cited by 62,936
- Factstatement and proof · cited by 2,726
- ContinuousMapstatement · cited by 2,491
- Nat.Primestatement and proof · cited by 2,059
- Nat.choosestatement and proof · cited by 494
- PadicIntstatement · cited by 179
- mahlerstatement · cited by 7
- Ring.choose_natCastproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.mahlerSeries_apply_natproof · cited by 3
- PadicInt.norm_mahlerTermproof · cited by 2