Theorems · Theorem · number theory
PadicSeq.norm_eq_zpow_neg_valuation
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {f : PadicSeq p}, ¬f ≈ 0 → f.norm = ↑p ^ (-f.valuation)- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 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.
Cites12
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
- padicNormstatement and proof · cited by 83
- padicValRatproof · cited by 49
- PadicSeqstatement and proof · cited by 30
- PadicSeq.normstatement · cited by 20
- PadicSeq.stationaryPointproof · cited by 15
- padicNorm.zeroproof · cited by 11
- PadicSeq.stationaryPoint_specproof · cited by 8
- CauSeq.not_limZero_of_not_congr_zeroproof · cited by 3
- PadicSeq.valuationstatement and proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Padic.norm_eq_zpow_neg_valuationproof · cited by 9
- PadicSeq.val_eq_iff_norm_eqproof · cited by 0