Definition defined_by_instr (r': mreg) (i: instruction) :=
  match i with
  | Lgetstack sl ofs ty r => r' = r
  | Lop op args res => r' = res
  | Lload chunk addr args dst => r' = dst
  | Lbuiltin ef args res => In r' (params_of_builtin_res res) \/ In r' (destroyed_by_builtin ef)
  | _ => False
  end.

Lemma max_over_instrs_bound: forall (valu: instruction -> Z) i, In i f.(fn_code) -> valu i <= max_over_instrs valu.