Theorems · Theorem · functional analysis
Bornology.IsVonNBounded.of_subsingleton
∀ {𝕜 : Type u_1} {E : Type u_3} [inst : SeminormedRing 𝕜] [inst_1 : SMul 𝕜 E] [inst_2 : Zero E]
[inst_3 : TopologicalSpace E] [Subsingleton E] {s : Set E}, Bornology.IsVonNBounded 𝕜 s- Defined in
- Mathlib.Analysis.LocallyConvex.Bounded
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- nhdsproof · cited by 5,554
- Filter.Eventually.of_forallproof · cited by 526
- SeminormedRingstatement and proof · cited by 446
- Set.subset_univproof · cited by 228
- Bornology.IsVonNBoundedstatement · cited by 136
- Set.Nonempty.imageproof · cited by 87
- Filter.nonempty_of_memproof · cited by 36
- Subsingleton.eq_univ_of_nonemptyproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Bornology.IsVonNBounded.restrict_scalarsproof · cited by 2