{α : Sort u_1} →
  {lt : α → α → Prop} →
    {motive : IsStrictTotalOrder α lt → Sort u} →
      (t : IsStrictTotalOrder α lt) →
        ([toTrichotomous : Std.Trichotomous lt] → [toIsStrictOrder : IsStrictOrder α lt] → motive ⋯) → motive t