Theorems · Theorem · functional analysis
AffineSpace.asymptoticNhds_le_cobounded
∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : NormedSpace ℝ V] [inst_2 : MetricSpace P]
[inst_3 : NormedAddTorsor V P] {v : V}, v ≠ 0 → AffineSpace.asymptoticNhds ℝ P v ≤ Bornology.cobounded P- Cited by
- 2 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Filterstatement and proof · cited by 8,121
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- Filter.atTopproof · cited by 2,405
- HVAdd.hVAddproof · cited by 1,820
- SProd.sprodproof · cited by 1,750
- MetricSpacestatement and proof · cited by 1,684
- Dist.distproof · cited by 1,539
- NormedAddTorsorstatement and proof · cited by 1,325
Cited by2
Results whose statement or proof uses this declaration.
- AffineSpace.cobounded_eq_iSup_sphere_asymptoticNhdsproof · cited by 1
- asymptoticCone_subset_singleton_of_boundedproof · cited by 1