Theorems · Theorem · number theory
PadicSeq.norm_values_discrete
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (a : PadicSeq p), ¬a ≈ 0 → ∃ z, a.norm = ↑p ^ (-z)- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 93 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.
Cites8
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
- zpow_negproof · cited by 198
- padicNormstatement and proof · cited by 83
- PadicSeqstatement and proof · cited by 30
- PadicSeq.normstatement and proof · cited by 20
- PadicSeq.norm_eq_norm_app_of_nonzeroproof · cited by 1
- padicNorm.values_discreteproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Padic.padicNormE.imageproof · cited by 1
- padicNormE.image'proof · cited by 0