∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {p : E → X}
  (cov : IsCoveringMap p) {x y : X} (γ : Path.Homotopic.Quotient x y), Function.Bijective (cov.monodromy γ)