Theorems · Theorem · approximation theory
Asymptotics.isLittleO_const_const_iff
∀ {α : Type u_1} {E'' : Type u_9} {F'' : Type u_10} [inst : NormedAddCommGroup E''] [inst_1 : NormedAddCommGroup F'']
{l : Filter α} [l.NeBot] {d : E''} {c : F''}, ((fun _x => d) =o[l] fun _x => c) ↔ d = 0- Defined in
- Mathlib.Analysis.Asymptotics.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- Filterstatement and proof · cited by 8,121
- Norm.normproof · cited by 5,413
- Filter.Tendstoproof · cited by 3,814
- Filter.atTopproof · cited by 2,405
- Filter.NeBotstatement and proof · cited by 853
- Asymptotics.IsLittleOstatement · cited by 375
- tendsto_const_nhdsproof · cited by 330
- not_tendsto_atTop_of_tendsto_nhdsproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Convex.second_derivative_within_at_symmetric_of_mem_interiorproof · cited by 1
- Asymptotics.isLittleO_pureproof · cited by 0