Theorems · Theorem · number theory
approxAddOrderOf.image_nsmul_subset_of_coprime
∀ {A : Type u_1} [inst : SeminormedAddCommGroup A] {m n : ℕ} (δ : ℝ),
0 < m → n.Coprime m → (fun y => m • y) '' approxAddOrderOf A n δ ⊆ approxAddOrderOf A n (↑m * δ)- Defined in
- Mathlib.NumberTheory.WellApproximable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- Set.imagestatement and proof · cited by 5,609
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Metric.ballproof · cited by 735
- nsmul_eq_mulproof · cited by 369
- addOrderOfproof · cited by 208
- approxAddOrderOfstatement and proof · cited by 9
- Metric.ball_subset_thickeningproof · cited by 4
- mem_approx_add_orderOf_iffproof · cited by 2
- nsmul_mem_ballproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddCircle.addWellApproximable_ae_empty_or_univproof · cited by 0