Theorems · Theorem · approximation theory
Asymptotics.IsEquivalent.isTheta
∀ {α : Type u_1} {β : Type u_2} [inst : NormedAddCommGroup β] {u v : α → β} {l : Filter α},
Asymptotics.IsEquivalent l u v → u =Θ[l] v- Cited by
- 9 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- Filterstatement and proof · cited by 8,121
- Asymptotics.IsThetastatement · cited by 115
- Asymptotics.IsEquivalentstatement and proof · cited by 98
- Asymptotics.IsEquivalent.isBigOproof · cited by 13
- Asymptotics.IsEquivalent.isBigO_symmproof · cited by 4
Cited by9
Results whose statement or proof uses this declaration.
- HasFDerivAtFilter.isThetaTVS_subproof · cited by 4
- AkraBazziRecurrence.isTheta_smoothingFn_sub_selfproof · cited by 2
- Asymptotics.IsEquivalent.summable_iff_natproof · cited by 2
- Asymptotics.IsEquivalent.trans_isThetaproof · cited by 1
- Function.locallyFinsuppWithin.one_isLittleO_logCounting_singleproof · cited by 1
- AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_add_smoothingFnproof · cited by 1
- AkraBazziRecurrence.isTheta_deriv_rpow_p_mul_one_sub_smoothingFnproof · cited by 1
- Asymptotics.IsEquivalent.summable_iffproof · cited by 1
- Asymptotics.IsTheta.trans_isEquivalentproof · cited by 0