{F : Type u_6} →
  {α : Type u_7} →
    [inst : AddGroup α] →
      [inst_1 : FunLike F α ℝ] →
        {motive : NonarchAddGroupNormClass F α → Sort u} →
          (t : NonarchAddGroupNormClass F α) →
            ([toNonarchAddGroupSeminormClass : NonarchAddGroupSeminormClass F α] →
                (eq_zero_of_map_eq_zero : ∀ (f : F) {a : α}, f a = 0 → a = 0) → motive ⋯) →
              motive t