Theorems · Theorem · number theory
PadicInt.exists_pow_neg_lt_rat
∀ (p : ℕ) [hp : Fact (Nat.Prime p)] {ε : ℚ}, 0 < ε → ∃ k, ↑p ^ (-↑k) < ε- Cited by
- 4 results in Mathlib
- Foundations
- Depth 111 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.
- Realproof · cited by 25,697
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- Rat.cast_natCastproof · cited by 67
- PadicInt.exists_pow_neg_ltproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- PadicInt.isCauSeq_nthHomproof · cited by 3
- PadicInt.isCauSeq_padicNorm_of_pow_dvd_subproof · cited by 2
- PadicInt.nthHomSeq_mulproof · cited by 1
- PadicInt.nthHomSeq_addproof · cited by 1