Theorems · Theorem · number theory
PadicSeq.norm_zero_iff
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] (f : PadicSeq p), f.norm = 0 ↔ f ≈ 0- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 3 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.
Cites9
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
- sub_zeroproof · cited by 938
- padicNormstatement and proof · cited by 83
- PadicSeqstatement and proof · cited by 30
- PadicSeq.normstatement and proof · cited by 20
- PadicSeq.stationaryPointproof · cited by 15
- PadicSeq.stationaryPoint_specproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- PadicSeq.add_eq_max_of_neproof · cited by 1
- PadicSeq.norm_nonarchimedeanproof · cited by 1
- PadicSeq.norm_nonzero_of_not_equiv_zeroproof · cited by 1