∀ {E : Type u_1} [inst : AddCommGroup E] [inst_1 : Module ℝ E] [inst_2 : TopologicalSpace E] [ContinuousAdd E]
  [ContinuousSMul ℝ E] {p q : Submodule ℝ E}, IsCompl p q → IsPathConnected {0}ᶜ → IsPathConnected (↑q)ᶜ