Goal:
  
  G : t
  idx0 : VSet.t
  idx1 : V.t
  idx : V.t
  a : SPath (pr1 {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |})
        (pr1 (pr2 {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |}))
        (pr2 (pr2 {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |}))
  ============================
   (NoConfusion_SPath
      {|
        pr1 := {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |};
        pr2 := a
      |}
      {|
        pr1 := {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |};
        pr2 := a
      |})


DEBUG:Going to execute:
fun id =>
             match type of id with
             | sigma ?P =>
                 let idx := fresh "idx" in
                 destruct id as [idx id];
                  repeat CoreTactics.destruct_sigma idx; 
                  simpl in id
             | _ => idtac
             end