∀ {motive_1 : Aesop.Frontend.RuleExpr → Sort u} {motive_2 : Array Aesop.Frontend.RuleExpr → Sort u}
  {motive_3 : List Aesop.Frontend.RuleExpr → Sort u} (t : List Aesop.Frontend.RuleExpr)
  (F_1 : (t : Aesop.Frontend.RuleExpr) → t.below → motive_1 t)
  (F_2 : (t : Array Aesop.Frontend.RuleExpr) → Aesop.Frontend.RuleExpr.below_1 t → motive_2 t)
  (F_3 : (t : List Aesop.Frontend.RuleExpr) → Aesop.Frontend.RuleExpr.below_2 t → motive_3 t),
  Aesop.Frontend.RuleExpr.brecOn_2 t F_1 F_2 F_3 = F_3 t (Aesop.Frontend.RuleExpr.brecOn_2.go t F_1 F_2 F_3).2