Theorems · Theorem · approximation theory
Asymptotics.IsEquivalent.mul
∀ {α : Type u_1} {β : Type u_3} [inst : NormedField β] {t u v w : α → β} {l : Filter α},
Asymptotics.IsEquivalent l t u → Asymptotics.IsEquivalent l v w → Asymptotics.IsEquivalent l (t * v) (u * w)- Cited by
- 9 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- NormedFieldstatement and proof · cited by 1,084
- Asymptotics.IsEquivalentstatement and proof · cited by 98
- Asymptotics.IsEquivalent.smulproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- Asymptotics.IsEquivalent.divproof · cited by 4
- ProbabilityTheory.tendsto_choose_mul_pow_atTopproof · cited by 1
- isEquivalent_descFactorialproof · cited by 1
- AkraBazziRecurrence.isBigO_symm_asympBoundproof · cited by 1
- AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_add_smoothingFnproof · cited by 1
- AkraBazziRecurrence.isEquivalent_deriv_rpow_p_mul_one_sub_smoothingFnproof · cited by 1
- AkraBazziRecurrence.isEquivalent_smoothingFn_sub_selfproof · cited by 1
- Asymptotics.IsEquivalent.listProdproof · cited by 1
- Asymptotics.IsEquivalent.powproof · cited by 1