Theorems · Theorem · number theory
PadicInt.norm_ascPochhammer_le
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (k : ℕ) (x : ℤ_[p]), ‖Polynomial.eval x (ascPochhammer ℤ_[p] k)‖ ≤ ‖↑k.factorial‖Bound for norms of ascending Pochhammer symbols.
- Defined in
- Mathlib.NumberTheory.Padics.MahlerBasis
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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- Norm.normstatement and proof · cited by 5,413
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- Nat.Primestatement and proof · cited by 2,059
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- Polynomial.evalstatement and proof · cited by 796
- norm_nonnegproof · cited by 725
- ContinuousAtproof · cited by 697
- Nat.factorialstatement and proof · cited by 616
- sub_add_cancelproof · cited by 344
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