(** In many cases, the context for [match_program_gen] is the source program or
  source compilation unit itself.  We provide a specialized definition for this case. *)

Definition match_program {F1 V1 F2 V2: Type} {LF: Linker F1} {LV: Linker V1}
                         (match_fundef: program F1 V1 -> F1 -> F2 -> Prop)
                         (match_varinfo: V1 -> V2 -> Prop)
                         (p1: program F1 V1) (p2: program F2 V2) : Prop :=
  match_program_gen match_fundef match_varinfo p1 p1 p2.

Lemma match_program_main: forall {F1 V1 F2 V2: Type} {LF: Linker F1} {LV: Linker V1} {match_fundef: program F1 V1 -> F1 -> F2 -> Prop} {match_varinfo: V1 -> V2 -> Prop} {p1: program F1 V1} {p2: program F2 V2}, match_program match_fundef match_varinfo p1 p2 -> p2.(prog_main) = p1.(prog_main).