Theorems · Definition · number theory
PadicSeq.stationaryPoint
{p : ℕ} → [inst : Fact (Nat.Prime p)] → {f : PadicSeq p} → ¬f ≈ 0 → ℕFor all n ≥ stationaryPoint f hf, the p-adic norm of f n is the same.
- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 88 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- padicNormstatement · cited by 83
- PadicSeqstatement and proof · cited by 30
- PadicSeq.stationaryproof · cited by 1
Cited by17
Results whose statement or proof uses this declaration.
- PadicSeq.normproof · cited by 20
- PadicSeq.stationaryPoint_specstatement · cited by 8
- padicNormE.defnproof · cited by 3
- PadicSeq.norm_zero_iffproof · cited by 3
- PadicSeq.valuationproof · cited by 3
- Padic.rat_dense'proof · cited by 2
- PadicSeq.lift_index_leftstatement and proof · cited by 2
- PadicSeq.lift_index_left_leftstatement and proof · cited by 2
- PadicSeq.lift_index_rightstatement and proof · cited by 2
- PadicSeq.norm_eq_zpow_neg_valuationproof · cited by 2
- PadicSeq.norm_nonnegproof · cited by 2
- PadicSeq.add_eq_max_of_neproof · cited by 1