∀ {𝕜 : Type u_1} {B : Type u_2} [inst : AddCommGroup 𝕜] [inst_1 : LinearOrder 𝕜] [inst_2 : IsOrderedAddMonoid 𝕜] {p : 𝕜}
  [hp : Fact (0 < p)] [inst_3 : Archimedean 𝕜] {f : 𝕜 → B} {x : 𝕜}, x ∈ Set.Ico 0 p → AddCircle.liftIco p 0 f ↑x = f x