Theorems · Theorem · approximation theory
Asymptotics.IsEquivalent.inv
∀ {α : Type u_1} {β : Type u_3} [inst : NormedField β] {u v : α → β} {l : Filter α},
Asymptotics.IsEquivalent l u v → Asymptotics.IsEquivalent l u⁻¹ v⁻¹- Cited by
- 3 results in Mathlib
- Foundations
- Depth 167 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.
Cites12
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
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- mul_commproof · cited by 2,262
- Filter.EventuallyEqproof · cited by 1,912
- NormedFieldstatement and proof · cited by 1,084
- inv_oneproof · cited by 301
- mul_inv_revproof · cited by 270
- Asymptotics.IsEquivalentstatement and proof · cited by 98
- Filter.Tendsto.inv₀proof · cited by 16
- Asymptotics.isEquivalent_iff_exists_eq_mulproof · cited by 4
- Filter.EventuallyEq.fun_invproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Asymptotics.IsEquivalent.divproof · cited by 4
- Asymptotics.IsEquivalent.zpowproof · cited by 0
- Real.summable_one_div_nat_add_rpowproof · cited by 0