Goal:
  
  G : t
  idx0 : VSet.t
  idx1 : V.t
  idx : V.t
  a : SPath idx0 idx1 idx
  idx3 : VSet.t
  idx2 : sigma (fun _ : V.t => V.t)
  b : SPath (pr1 {| pr1 := idx3; pr2 := idx2 |})
        (pr1 (pr2 {| pr1 := idx3; pr2 := idx2 |}))
        (pr2 (pr2 {| pr1 := idx3; pr2 := idx2 |}))
  H : NoConfusion_SPath
        {|
          pr1 := {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |};
          pr2 := a
        |} {| pr1 := {| pr1 := idx3; pr2 := idx2 |}; pr2 := b |}
  ============================
   ({|
      pr1 := {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |};
      pr2 := a
    |} = {| pr1 := {| pr1 := idx3; pr2 := idx2 |}; pr2 := b |})


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