∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] {s : Set α} {t : Set β} (f : ↑s ≃o (↑t)ᵒᵈ),
  Function.LeftInverse
    (have this := f;
        this).mapSetOfMinimal.invFun
    (have this := f;
        this).mapSetOfMinimal.toFun