Theorems · Inductive type · general topology
BoundedSub
(R : Type u_1) → [Bornology R] → [Sub R] → Prop
A typeclass saying that (p : R × R) ↦ p.1 - p.2 maps any product of bounded sets to a bounded
set. This property automatically holds for seminormed additive groups, but it also holds, e.g.,
for ℝ≥0.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bornologystatement · cited by 188
Cited by8
Results whose statement or proof uses this declaration.
- isBounded_substatement and proof · cited by 2
- BoundedSub.isBounded_substatement and proof · cited by 1
- boundedSub_of_lipschitzWith_substatement · cited by 0
- BoundedContinuousFunction.coe_substatement and proof · cited by 0
- BoundedContinuousFunction.sub_applystatement and proof · cited by 0
- sub_bounded_of_bounded_of_boundedstatement and proof · cited by 0
- BoundedSub.casesOnstatement and proof · cited by 0
- BoundedSub.recOnstatement and proof · cited by 0