Theorems · Theorem · functional analysis

Bornology.IsVonNBounded.of_sub_right

∀ {𝕜 : Type u_1} {E : Type u_3} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : TopologicalSpace E] [ContinuousSMul 𝕜 E] [IsTopologicalAddGroup E] {s t : Set E},
  Bornology.IsVonNBounded 𝕜 (s - t) → s.Nonempty → Bornology.IsVonNBounded 𝕜 t

Defined in: Mathlib.Analysis.LocallyConvex.Bounded
Cited by: 0 results in Mathlib
Foundations: Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedField AddCommGroup Module TopologicalSpace ContinuousSMul IsTopologicalAddGroup

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Setstatement and proof · 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
Set.Nonemptystatement and proof · cited by 2,627
IsTopologicalAddGroupstatement and proof · cited by 1,394
NormedFieldstatement and proof · cited by 1,084
sub_eq_add_negproof · cited by 1,023
ContinuousSMulstatement and proof · cited by 1,016
Set.substatement · cited by 136
Bornology.IsVonNBoundedstatement and proof · cited by 136
Bornology.IsVonNBounded.of_add_rightproof · cited by 3

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