Theorems · Theorem · general topology
isBounded_sub
∀ {R : Type u_1} [inst : Bornology R] [inst_1 : Sub R] [BoundedSub R] {s t : Set R},
Bornology.IsBounded s → Bornology.IsBounded t → Bornology.IsBounded (s - t)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- BornologySubBoundedSub
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
- Bornology.IsBoundedstatement and proof · cited by 293
- Bornologystatement and proof · cited by 188
- Set.substatement · cited by 136
- BoundedSubstatement and proof · cited by 6
- BoundedSub.isBounded_subproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- tendsto_add_const_coboundedproof · cited by 1
- sub_bounded_of_bounded_of_boundedproof · cited by 0