Theorems · Theorem · general topology
LocallyBoundedMap.ofMapBounded_apply
∀ {α : Type u_2} {β : Type u_3} [inst : Bornology α] [inst_1 : Bornology β] (f : α → β)
{h : ∀ ⦃s : Set α⦄, Bornology.IsBounded s → Bornology.IsBounded (f '' s)} (a : α),
(LocallyBoundedMap.ofMapBounded f h) a = f a- Defined in
- Mathlib.Topology.Bornology.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- Bornology.IsBoundedstatement and proof · cited by 293
- Bornologystatement and proof · cited by 188
- LocallyBoundedMapstatement · cited by 20
- LocallyBoundedMap.ofMapBoundedstatement · cited by 2
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