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Theorems · Theorem · functional analysis

Asymptotics.IsBigOTVS.rfl

∀ {α : Type u_1} {𝕜 : Type u_3} {E : Type u_4} [inst : NontriviallyNormedField 𝕜] [inst_1 : AddCommGroup E]
  [inst_2 : TopologicalSpace E] [inst_3 : Module 𝕜 E] {l : Filter α} {f : α → E}, f =O[𝕜; l] f
Defined in
Mathlib.Analysis.Asymptotics.TVS
Cited by
3 results in Mathlib
Foundations
Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldAddCommGroupTopologicalSpaceModule
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Asymptotics.IsLittleOTVS.neg_left · cited by 2IsLittleOTVS.neg_leftAsymptotics.IsLittleOTVS.neg_right · cited by 1IsLittleOTVS.neg_rightAsymptotics.IsThetaTVS.refl · cited by 1IsThetaTVS.reflTopologicalSpace · cited by 24529TopologicalSpaceModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupNontriviallyNormedField · cited by 8742NontriviallyNormedFieldFilter · cited by 8121FilterAsymptotics.IsBigOTVS · cited by 61Asymptotics.IsBigOTVSAsymptotics.IsBigOTVS.refl · cited by 2IsBigOTVS.reflIsBigOTVS.rflCITED BYCITES

Cites7

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Cited by3

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