∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {p : E → X}
  (cov : IsCoveringMap p) {x y : E} (γ : Path.Homotopic.Quotient x y),
  cov.monodromy (γ.map { toFun := p, continuous_toFun := ⋯ }) ⟨x, ⋯⟩ = ⟨y, ⋯⟩