Theorems · Theorem · approximation theory
Asymptotics.IsEquivalent.neg
∀ {α : Type u_1} {β : Type u_2} [inst : NormedAddCommGroup β] {u v : α → β} {l : Filter α},
Asymptotics.IsEquivalent l u v → Asymptotics.IsEquivalent l (fun x => -u x) fun x => -v x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 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.
Cites11
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
- Normproof · cited by 512
- Asymptotics.IsLittleOproof · cited by 375
- neg_subproof · cited by 272
- sub_neg_eq_addproof · cited by 264
- Asymptotics.IsEquivalentstatement and proof · cited by 98
- neg_add_eq_subproof · cited by 33
- Asymptotics.IsLittleO.neg_leftproof · cited by 9
- Asymptotics.IsEquivalent.isLittleOproof · cited by 6
- Asymptotics.IsLittleO.neg_rightproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Asymptotics.IsEquivalent.tendsto_atBotproof · cited by 2