Theorems · Theorem · number theory
PadicSeq.eq_zero_iff_equiv_zero
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (f : PadicSeq p), CauSeq.Completion.mk f = 0 ↔ f ≈ 0- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 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.
Cites7
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
- CauSeq.Completion.Cauchystatement · cited by 62
- PadicSeqstatement and proof · cited by 30
- CauSeq.Completion.mkstatement · cited by 24
- CauSeq.Completion.mk_eqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- PadicSeq.ne_zero_iff_nequiv_zeroproof · cited by 2