Theorems · Inductive type · general topology
LocallyBoundedMap
(α : Type u_6) → (β : Type u_7) → [Bornology α] → [Bornology β] → Type (max u_6 u_7)
The type of bounded maps from α to β, the maps which send a bounded set to a bounded set.
- Defined in
- Mathlib.Topology.Bornology.Hom
- Cited by
- 20 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 by33
Results whose statement or proof uses this declaration.
- LocallyBoundedMap.compstatement and proof · cited by 7
- LocallyBoundedMap.extstatement and proof · cited by 5
- LocallyBoundedMap.idstatement · cited by 4
- LipschitzWith.toLocallyBoundedMapstatement · cited by 3
- LocallyBoundedMap.copystatement and proof · cited by 2
- LocallyBoundedMap.ofMapBoundedstatement · cited by 2
- LocallyBoundedMap.mk.injstatement · cited by 1
- LocallyBoundedMap.mk.noConfusionstatement · cited by 1
- LocallyBoundedMap.comap_cobounded_le'statement and proof · cited by 1
- LocallyBoundedMap.comp_applystatement and proof · cited by 1
- LocallyBoundedMap.toFunstatement and proof · cited by 1
- LocallyBoundedMap.mk.injEqstatement · cited by 0