Theorems · Theorem · approximation theory
Asymptotics.IsLittleO.add_isEquivalent
∀ {α : Type u_1} {β : Type u_2} [inst : NormedAddCommGroup β] {u v w : α → β} {l : Filter α},
u =o[l] w → Asymptotics.IsEquivalent l v w → Asymptotics.IsEquivalent l (u + v) w- Cited by
- 3 results in Mathlib
- Foundations
- Depth 112 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
- add_commproof · cited by 1,535
- Asymptotics.IsLittleOstatement and proof · cited by 375
- Asymptotics.IsEquivalentstatement and proof · cited by 98
- Asymptotics.IsEquivalent.add_isLittleOproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.isEquivalent_atTop_leadproof · cited by 5
- Polynomial.isEquivalent_cobounded_leading_monomialproof · cited by 2
- Asymptotics.IsEquivalent.const_add_of_norm_tendsto_atTopproof · cited by 0