Scheme eval_exprT_ind2 := Minimality for eval_exprT Sort Prop
  with eval_lvalueT_ind2 := Minimality for eval_lvalueT Sort Prop.Combined Scheme eval_exprT_lvalue_ind from eval_exprT_ind2, eval_lvalueT_ind2.Inductive eval_exprTlist: list expr -> typelist -> list val -> list mem_event-> Prop :=
  | eval_ETnil:
      eval_exprTlist nil Tnil nil nil
  | eval_ETcons:   forall a bl ty tyl v1 v2 vl T1 T2,
      eval_exprT a v1 T1 ->
      sem_cast v1 (typeof a) ty m = Some v2 ->
      eval_exprTlist bl tyl vl T2 ->
      eval_exprTlist (a :: bl) (Tcons ty tyl) (v2 :: vl) (T1++T2).Inductive eval_exprTlist: list expr -> typelist -> list val -> list mem_event-> Prop :=
  | eval_ETnil:
      eval_exprTlist nil Tnil nil nil
  | eval_ETcons:   forall a bl ty tyl v1 v2 vl T1 T2,
      eval_exprT a v1 T1 ->
      sem_cast v1 (typeof a) ty m = Some v2 ->
      eval_exprTlist bl tyl vl T2 ->
      eval_exprTlist (a :: bl) (Tcons ty tyl) (v2 :: vl) (T1++T2).Inductive eval_exprTlist: list expr -> typelist -> list val -> list mem_event-> Prop :=
  | eval_ETnil:
      eval_exprTlist nil Tnil nil nil
  | eval_ETcons:   forall a bl ty tyl v1 v2 vl T1 T2,
      eval_exprT a v1 T1 ->
      sem_cast v1 (typeof a) ty m = Some v2 ->
      eval_exprTlist bl tyl vl T2 ->
      eval_exprTlist (a :: bl) (Tcons ty tyl) (v2 :: vl) (T1++T2).

Lemma eval_exprT_elim g e le: forall m a v T (E:eval_exprT g e le m a v T), ev_elim m T m with eval_lvalueT_elim g e le: forall m a b z T (E:eval_lvalueT g e le m a b z T), ev_elim m T m.