Theorems · Theorem · number theory
PadicSeq.not_limZero_const_of_nonzero
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {q : ℚ}, q ≠ 0 → ¬(CauSeq.const (padicNorm p) q).LimZero- 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.
Cites6
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 and proof · cited by 83
- CauSeq.conststatement and proof · cited by 58
- CauSeq.LimZerostatement and proof · cited by 46
- CauSeq.const_limZeroproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- PadicSeq.not_equiv_zero_const_of_nonzeroproof · cited by 1