Theorems · Theorem · number theory
approxOrderOf.smul_eq_of_mul_dvd
∀ {A : Type u_1} [inst : SeminormedCommGroup A] {a : A} {n : ℕ} (δ : ℝ),
0 < n → orderOf a ^ 2 ∣ n → a • approxOrderOf A n δ = approxOrderOf A n δ- Defined in
- Mathlib.NumberTheory.WellApproximable
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
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.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.iUnionproof · cited by 2,483
- mul_commproof · cited by 2,262
- Nat.Primeproof · cited by 2,059
- Metric.ballproof · cited by 735
- Set.smulSetstatement · cited by 608
- inv_invproof · cited by 494
- Set.iUnion_congr_Propproof · cited by 374
- orderOfstatement and proof · cited by 324
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.