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Theorems · Theorem · number theory

PadicSeq.ne_zero_iff_nequiv_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
2 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fact
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Padic.padicNormE.image · cited by 1padicNormE.imagepadicNormE.image' · cited by 0padicNormE.image'Fact · cited by 2726FactNat.Prime · cited by 2059Nat.PrimeIff.not · cited by 489Iff.notpadicNorm · cited by 83padicNormCauSeq.Completion.Cauchy · cited by 62Completion.CauchyPadicSeq · cited by 30PadicSeqCauSeq.Completion.mk · cited by 24Completion.mkPadicSeq.eq_zero_iff_equiv_zero · cited by 1PadicSeq.eq_zero_iff_equi…PadicSeq.ne_zero_iff_nequiv_z…CITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.