Goal:
  
  A : Type
  B : Type
  P : B → A → A → Type
  idx0 : list B
  idx1 : list A
  idx : list A
  a : OnOne2All P
        (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_OnOne2All A B P
      {|
        pr1 := {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |};
        pr2 := a
      |}
      {|
        pr1 := {| pr1 := idx0; pr2 := {| pr1 := idx1; pr2 := idx |} |};
        pr2 := a
      |})


DEBUG:Going to execute:
type of id