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Theorems · Theorem · functional analysis

Asymptotics.IsBigOTVS.refl

∀ {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] (f : α → E) (l : Filter α), f =O[𝕜; l] f
Defined in
Mathlib.Analysis.Asymptotics.TVS
Cited by
2 results in Mathlib
Foundations
Depth 159 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.IsBigOTVS.rfl · cited by 3IsBigOTVS.rflAsymptotics.IsBigOTVS.neg_right · cited by 2IsBigOTVS.neg_rightSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupNontriviallyNormedField · cited by 8742NontriviallyNormedFieldFilter · cited by 8121Filternhds · cited by 5554nhdsAsymptotics.IsBigOTVS · cited by 61Asymptotics.IsBigOTVSFilter.EventuallyLE.rfl · cited by 3EventuallyLE.rflAsymptotics.isBigOTVS_iff · cited by 3Asymptotics.isBigOTVS_iffIsBigOTVS.reflCITED BYCITES

Cites10

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Cited by2

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