Theorems · Theorem · approximation theory
Asymptotics.IsEquivalent.trans
∀ {α : Type u_1} {β : Type u_2} [inst : NormedAddCommGroup β] {l : Filter α} {u v w : α → β},
Asymptotics.IsEquivalent l u v → Asymptotics.IsEquivalent l v w → Asymptotics.IsEquivalent l u w- Cited by
- 5 results in Mathlib
- Foundations
- Depth 117 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.
Cites7
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.IsEquivalentstatement and proof · cited by 98
- Asymptotics.IsLittleO.trans_isBigOproof · cited by 19
- Asymptotics.IsEquivalent.isBigOproof · cited by 13
- Asymptotics.IsEquivalent.isLittleOproof · cited by 6
- Asymptotics.IsLittleO.triangleproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Asymptotics.IsEquivalent.tendsto_nhdsproof · cited by 6
- Polynomial.isEquivalent_atTop_divproof · cited by 5
- Polynomial.isEquivalent_atBot_divproof · cited by 1
- Filter.EventuallyEq.trans_isEquivalentproof · cited by 0
- Asymptotics.IsEquivalent.trans_eventuallyEqproof · cited by 0