Theorems · Theorem · general topology
isBounded_mul
∀ {R : Type u_1} [inst : Bornology R] [inst_1 : Mul R] [BoundedMul 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
- BornologyMulBoundedMul
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
- Set.mulstatement · cited by 297
- Bornology.IsBoundedstatement and proof · cited by 293
- Bornologystatement and proof · cited by 188
- BoundedMulstatement and proof · cited by 14
- BoundedMul.isBounded_mulproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- isBounded_powproof · cited by 0
- mul_bounded_of_bounded_of_boundedproof · cited by 0