Theorems · Theorem · number theory
PadicSeq.lift_index_left
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {f : PadicSeq p} (hf : ¬f ≈ 0) (v1 v3 : ℕ),
padicNorm p (↑f (PadicSeq.stationaryPoint hf)) = padicNorm p (↑f (max v1 (max (PadicSeq.stationaryPoint hf) v3)))An auxiliary lemma for manipulating sequence indices.
- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 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.
Cites11
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
- le_rflproof · cited by 1,558
- le_transproof · cited by 985
- le_max_leftproof · cited by 215
- le_max_rightproof · cited by 205
- IsCauSeqstatement · cited by 91
- padicNormstatement · cited by 83
- PadicSeqstatement and proof · cited by 30
- PadicSeq.stationaryPointstatement and proof · cited by 15
- PadicSeq.stationaryPoint_specproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- PadicSeq.add_eq_max_of_neproof · cited by 1
- PadicSeq.norm_mulproof · cited by 0