Theorems · Theorem · functional analysis
Asymptotics.IsLittleOTVS.bot
∀ {α : Type u_1} {𝕜 : Type u_3} {E : Type u_4} {F : Type u_5} [inst : NontriviallyNormedField 𝕜]
[inst_1 : AddCommGroup E] [inst_2 : TopologicalSpace E] [inst_3 : Module 𝕜 E] [inst_4 : AddCommGroup F]
[inst_5 : TopologicalSpace F] [inst_6 : Module 𝕜 F] {f : α → E} {g : α → F}, f =o[𝕜; ⊥] g- Defined in
- Mathlib.Analysis.Asymptotics.TVS
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Filterstatement · cited by 8,121
- nhdsproof · cited by 5,554
- Bot.botstatement and proof · cited by 4,720
- NNRealproof · cited by 4,310
- Set.univproof · cited by 3,945
- Filter.Eventuallyproof · cited by 3,134
- MulZeroClass.mul_zeroproof · cited by 2,091
Cited by1
Results whose statement or proof uses this declaration.
- HasFDerivWithinAt.of_not_accPtproof · cited by 3