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Theorems · Theorem · general topology

Absorbent.absorbs_finite

∀ {M : Type u_1} {α : Type u_2} [inst : Bornology M] [inst_1 : SMul M α] {s t : Set α},
  Absorbent M s → t.Finite → Absorbs M s t
Defined in
Mathlib.Topology.Bornology.Absorbs
Cited by
1 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
BornologySMul
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.Finite.isVonNBounded · cited by 0Finite.isVonNBoundedSet · cited by 53352SetSet.Finite · cited by 1814Set.FiniteBornology · cited by 188BornologyAbsorbent · cited by 60AbsorbentAbsorbs · cited by 59AbsorbsSet.biUnion_of_singleton · cited by 43Set.biUnion_of_singletonAbsorbent.absorbs · cited by 3Absorbent.absorbsAbsorbs.biUnion · cited by 1Absorbs.biUnionAbsorbent.absorbs_finiteCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.