Theorems · Theorem · general topology

BoundedMul.isBounded_mul

∀ {R : Type u_1} {inst : Bornology R} {inst_1 : Mul R} [self : BoundedMul R] {s t : Set R},
  Bornology.IsBounded s → Bornology.IsBounded t → Bornology.IsBounded (s * t)

Defined in: Mathlib.Topology.Bornology.BoundedOperation
Cited by: 1 results in Mathlib
Foundations: Depth 7 from the axioms · uses no axioms
Assumes: BoundedMul

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites5

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

Setstatement · cited by 53,352
Set.mulstatement · cited by 297
Bornology.IsBoundedstatement · cited by 293
Bornologystatement and proof · cited by 188
BoundedMulstatement and proof · cited by 14

Cited by1

Results whose statement or proof uses this declaration.

isBounded_mulproof · cited by 2