Theorems · Theorem · number theory
Padic.padicNormE_lim_le
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {f : CauSeq ℚ_[p] norm} {a : ℝ}, 0 < a → (∀ (i : ℕ), ‖↑f i‖ ≤ a) → ‖f.lim‖ ≤ a- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- le_rflproof · cited by 1,558
- le_of_ltproof · cited by 1,175
- sub_add_cancelproof · cited by 344
- CauSeqstatement and proof · cited by 189
- Padicstatement and proof · cited by 151
- IsCauSeqstatement · cited by 91
- max_leproof · cited by 71
- CauSeq.constproof · cited by 58
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