Theorems · Theorem · number theory
padicNormE.defn
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] (f : PadicSeq p) {ε : ℚ},
0 < ε → ∃ N, ∀ i ≥ N, padicNormE (Padic.mk f - ↑(↑f i)) < ε- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 105 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.
Cites19
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
- Nat.Primestatement and proof · cited by 2,059
- le_rflproof · cited by 1,558
- AbsoluteValuestatement · cited by 363
- le_totalproof · cited by 294
- Padicstatement · cited by 151
- not_le_of_gtproof · cited by 97
- IsCauSeqstatement · cited by 91
- padicNormstatement and proof · cited by 83
- CauSeq.constproof · cited by 58
- not_lt_of_geproof · cited by 52
Cited by3
Results whose statement or proof uses this declaration.
- Padic.complete'proof · cited by 1
- PadicInt.limNthHom_specproof · cited by 1
- PadicInt.toZModPow_ofIntSeq_of_pow_dvd_subproof · cited by 1