Theorems · Definition · general topology
Bornology.induced
{α : Type u_5} → {β : Type u_6} → [Bornology β] → (α → β) → Bornology αInverse image of a bornology.
- Defined in
- Mathlib.Topology.Bornology.Constructions
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Bornology
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filter.comapproof · cited by 546
- Bornologystatement and proof · cited by 188
- Bornology.coboundedproof · cited by 162
Cited by6
Results whose statement or proof uses this declaration.
- Bornology.isBounded_inducedstatement · cited by 3
- boundedSpace_induced_iffstatement · cited by 1
- PseudoMetricSpace.inducedproof · cited by 1
- bornology_eq_of_bilipschitzstatement · cited by 1
- isBounded_iff_of_bilipschitzstatement · cited by 0
- Unitization.cobounded_eq_auxstatement · cited by 0