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Theorems · Theorem · field theory

Filter.map_mul_left_cobounded

∀ {α : Type u_1} [inst : NormedDivisionRing α] {a : α},
  a ≠ 0 → Filter.map (fun x => a * x) (Bornology.cobounded α) = Bornology.cobounded α
Defined in
Mathlib.Analysis.Normed.Field.Lemmas
Cited by
1 results in Mathlib
Foundations
Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedDivisionRing
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Around this declaration

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

Filter.tendsto_mul_left_cobounded · cited by 0Filter.tendsto_mul_left_c…Filter · cited by 8121FilterFilter.map · cited by 819Filter.mapNormedDivisionRing · cited by 360NormedDivisionRingBornology.cobounded · cited by 162Bornology.coboundedDilationEquiv.mulLeft · cited by 3DilationEquiv.mulLeftDilationEquiv.map_cobounded · cited by 2DilationEquiv.map_cobound…Filter.map_mul_left_coboundedCITED BYCITES

Cites6

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Cited by1

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