proposition: Theorem loops_circle : ℤ ≃ Ω circle.
proof: Proof. apply loopsBG. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.PartA UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.NumberSystems.Integers UniMath.SyntheticHomotopyTheory.AffineLine UniMath.Algebra.GroupAction UniMath.MoreFoundations.MoreEquivalences