Mathlib Map

Theorems · Theorem · general topology

BddAbove.isBounded

∀ {α : Type u_1} {s : Set α} [inst : Bornology α] [inst_1 : Preorder α] [IsOrderBornology α],
  BddAbove s → BddBelow s → Bornology.IsBounded s
Defined in
Mathlib.Topology.Order.Bornology
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
BornologyPreorderIsOrderBornology
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

BddAbove.isBounded_inter · cited by 1BddAbove.isBounded_interSet · cited by 53352SetPreorder · cited by 7952PreorderBddAbove · cited by 620BddAboveBddBelow · cited by 401BddBelowBornology.IsBounded · cited by 293Bornology.IsBoundedBornology · cited by 188BornologyIsOrderBornology · cited by 20IsOrderBornologyisBounded_iff_bddBelow_bddAbove · cited by 7isBounded_iff_bddBelow_bd…BddAbove.isBoundedCITED 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.