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Theorems · Theorem · general topology

Absorbs.empty

∀ {M : Type u_1} {α : Type u_2} [inst : Bornology M] [inst_1 : SMul M α] {s : Set α}, Absorbs M s ∅
Defined in
Mathlib.Topology.Bornology.Absorbs
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext, Quot.sound
Assumes
BornologySMul
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Around this declaration

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

Bornology.isVonNBounded_empty · cited by 2Bornology.isVonNBounded_e…Set · cited by 53352SetFilter.Eventually · cited by 3134Filter.EventuallyBornology · cited by 188BornologyBornology.cobounded · cited by 162Bornology.coboundedAbsorbs · cited by 59AbsorbsAbsorbs.emptyCITED BYCITES

Cites5

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.