Goal:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b0 : All2_dep R' All2_nil
  b'' : list A
  b''0 : list B
  b' : All2 R b'' b''0
  ============================
   (∀ b : All2_dep R' b',
      {|
        pr1 := {| pr1 := []; pr2 := {| pr1 := []; pr2 := All2_nil |} |};
        pr2 := b0
      |} =
      {|
        pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |};
        pr2 := b
      |}
      → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2_dep A B R R' []
                                          [] All2_nil All2_dep_nil b0),
          let H0 := CoreTactics.block in
          noConfusionHom_All2_dep_obligation_2 A B R R' [] [] All2_nil
            All2_dep_nil b0
            (noConfusionHom_All2_dep_obligation_1 A B R R' [] [] All2_nil
               All2_dep_nil b0 e) = e)


DEBUG:Going to execute:
intros p