Theorems · Theorem · number theory
Padic.exi_rat_seq_conv
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] (f : CauSeq ℚ_[p] ⇑padicNormE) {ε : ℚ},
0 < ε → ∃ N, ∀ i ≥ N, padicNormE (↑f i - ↑(Padic.limSeq f i)) < ε- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 108 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.
Cites21
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
- one_mulproof · cited by 2,841
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- le_of_ltproof · cited by 1,175
- le_transproof · cited by 985
- lt_of_lt_of_leproof · cited by 438
- AbsoluteValuestatement · cited by 363
- CauSeqstatement and proof · cited by 189
- Padicstatement and proof · cited by 151
Cited by2
Results whose statement or proof uses this declaration.
- Padic.complete'proof · cited by 1
- Padic.exi_rat_seq_conv_cauchyproof · cited by 0