Theorems · Theorem · functional analysis
Bornology.isVonNBounded_empty
∀ (𝕜 : Type u_1) (E : Type u_3) [inst : SeminormedRing 𝕜] [inst_1 : SMul 𝕜 E] [inst_2 : Zero E] [inst_3 : TopologicalSpace E], Bornology.IsVonNBounded 𝕜 ∅
- Defined in
- Mathlib.Analysis.LocallyConvex.Bounded
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- SeminormedRingstatement and proof · cited by 446
- Bornology.IsVonNBoundedstatement · cited by 136
- Absorbs.emptyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousMultilinearMap.hasBasis_nhds_zero_of_basisproof · cited by 3
- ContinuousLinearMap.hasBasis_nhds_zero_of_basisproof · cited by 1