Theorems · Theorem · approximation theory
Asymptotics.IsBigOWith.eventually_mul_div_cancel
∀ {α : Type u_1} {𝕜 : Type u_15} [inst : NormedDivisionRing 𝕜] {c : ℝ} {l : Filter α} {u v : α → 𝕜},
Asymptotics.IsBigOWith c l u v → u / v * v =ᶠ[l] u- Defined in
- Mathlib.Analysis.Asymptotics.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedDivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- Norm.normproof · cited by 5,413
- MulZeroClass.mul_zeroproof · cited by 2,091
- Filter.EventuallyEqstatement · cited by 1,912
- Filter.Eventually.monoproof · cited by 646
- norm_zeroproof · cited by 366
- NormedDivisionRingstatement and proof · cited by 360
- Asymptotics.IsBigOWithstatement and proof · cited by 187
- Asymptotics.IsBigOWith.boundproof · cited by 17
- div_mul_cancel_of_impproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Asymptotics.isBigOWith_iff_exists_eq_mulproof · cited by 1
- Asymptotics.IsLittleO.eventually_mul_div_cancelproof · cited by 1
- Asymptotics.IsBigO.eventually_mul_div_cancelproof · cited by 0