Theorems · Definition · number theory
approxAddOrderOf
(A : Type u_1) → [SeminormedAddGroup A] → ℕ → ℝ → Set A
In a seminormed additive group A, given n : ℕ and δ : ℝ,
approxAddOrderOf A n δ is the set of elements within a distance δ of a point of order n.
- Defined in
- Mathlib.NumberTheory.WellApproximable
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddGroup
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.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- SeminormedAddGroupstatement and proof · cited by 331
- addOrderOfproof · cited by 208
- Metric.thickeningproof · cited by 130
Cited by10
Results whose statement or proof uses this declaration.
- addWellApproximableproof · cited by 3
- mem_approx_add_orderOf_iffstatement · cited by 2
- approxAddOrderOf.image_nsmul_subsetstatement and proof · cited by 1
- approxAddOrderOf.image_nsmul_subset_of_coprimestatement and proof · cited by 1
- approxAddOrderOf.vadd_eq_of_mul_dvdstatement · cited by 1
- approxAddOrderOf.vadd_subset_of_coprimestatement · cited by 1
- UnitAddCircle.mem_approxAddOrderOf_iffstatement · cited by 1
- AddCircle.addWellApproximable_ae_empty_or_univproof · cited by 0
- mem_add_wellApproximable_iffstatement · cited by 0
- UnitAddCircle.mem_addWellApproximable_iffproof · cited by 0