Theorems · Theorem · general topology
Absorbs.of_boundedSpace
∀ {M : Type u_1} {α : Type u_2} [inst : Bornology M] [inst_1 : SMul M α] {s t : Set α} [BoundedSpace M], Absorbs M s t- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BornologySMulBoundedSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Filter.Eventuallyproof · cited by 3,134
- Bornologystatement and proof · cited by 188
- Absorbsstatement · cited by 59
- BoundedSpacestatement and proof · cited by 26
- Bornology.cobounded_eq_botproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Bornology.IsVonNBounded.of_boundedSpaceproof · cited by 1