Theorems · Theorem · number theory
Padic.rat_dense
∀ (p : ℕ) [inst : Fact (Nat.Prime p)] (q : ℚ_[p]) {ε : ℝ}, 0 < ε → ∃ r, ‖q - ↑r‖ < ε- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 109 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- lt_transproof · cited by 165
- Padicstatement and proof · cited by 151
- exists_rat_btwnproof · cited by 26
- padicNormEproof · cited by 18
- Padic.rat_dense'proof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.exists_mem_rangeproof · cited by 1
- Padic.denseRange_ratCastproof · cited by 1