Theorems · Theorem · approximation theory
Asymptotics.IsLittleO.right_isBigO_add
∀ {α : Type u_1} {E' : Type u_6} [inst : SeminormedAddCommGroup E'] {l : Filter α} {f₁ f₂ : α → E'},
f₁ =o[l] f₂ → f₂ =O[l] fun x => f₁ x + f₂ x- Defined in
- Mathlib.Analysis.Asymptotics.Lemmas
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Asymptotics.IsBigOstatement · cited by 506
- Asymptotics.IsLittleOstatement and proof · cited by 375
- Asymptotics.IsBigOWith.isBigOproof · cited by 40
- one_half_posproof · cited by 31
- one_half_lt_oneproof · cited by 12
- Asymptotics.IsLittleO.def'proof · cited by 6
- Asymptotics.IsBigOWith.right_le_add_of_lt_oneproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Asymptotics.IsEquivalent.isBigO_symmproof · cited by 4
- Asymptotics.IsLittleO.right_isTheta_addproof · cited by 1
- Asymptotics.IsLittleO.right_isBigO_add'proof · cited by 0