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Theorems · Theorem · general topology

Bornology.isBounded_singleton

∀ {α : Type u_2} {x : Bornology α} {x_1 : α}, Bornology.IsBounded {x_1}
Defined in
Mathlib.Topology.Bornology.Basic
Cited by
6 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Bornology.IsBounded.insert · cited by 2IsBounded.insertspectrum.resolvent_isBigO_inv · cited by 1spectrum.resolvent_isBigO…tendsto_add_const_cobounded · cited by 1tendsto_add_const_cobound…tendsto_const_add_cobounded · cited by 1tendsto_const_add_cobound…Bornology.sUnion_bounded_univ · cited by 0Bornology.sUnion_bounded_…isBounded_nsmul · cited by 0isBounded_nsmulSet · cited by 53352SetCompl.compl · cited by 2925Compl.complBornology.IsBounded · cited by 293Bornology.IsBoundedBornology · cited by 188BornologySet.finite_singleton · cited by 70Set.finite_singletonSet.Finite.compl_mem_cofinite · cited by 14Finite.compl_mem_cofiniteBornology.isBounded_def · cited by 9Bornology.isBounded_defBornology.le_cofinite · cited by 3Bornology.le_cofiniteBornology.isBounded_singletonCITED BYCITES

Cites8

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

Cited by6

Results whose statement or proof uses this declaration.