Goal:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
cbv beta iota delta [TODO projection TODO projection] in id, id'
DEBUG LTAC Evaluated term: b
DEBUG LTAC Evaluated term: (All2i R b'' b''0 b')
Level 5: type of id
 has value 
(All2i R b'' b''0 b')


Goals:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  b0 : All2i R n [] []
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({| pr1 := {| pr1 := n; pr2 := {| pr1 := []; pr2 := [] |} |}; pr2 := b0 |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                        All2i_nil b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b0
          (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b0 e) =
        e)

  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
tac H

Goals:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  b0 : All2i R n [] []
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({| pr1 := {| pr1 := n; pr2 := {| pr1 := []; pr2 := [] |} |}; pr2 := b0 |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                        All2i_nil b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b0
          (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b0 e) =
        e)

  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
DepElim.do_case hyp

Goals:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  b0 : All2i R n [] []
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({| pr1 := {| pr1 := n; pr2 := {| pr1 := []; pr2 := [] |} |}; pr2 := b0 |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                        All2i_nil b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b0
          (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b0 e) =
        e)

  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
fun p =>
             DepElim.introduce p;
              DepElim.elim_case p || destruct p || (case p; clear p)

Goals:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  b0 : All2i R n [] []
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({| pr1 := {| pr1 := n; pr2 := {| pr1 := []; pr2 := [] |} |}; pr2 := b0 |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                        All2i_nil b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b0
          (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b0 e) =
        e)

  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
DepElim.introduce p;
            DepElim.elim_case p || destruct p || (case p; clear p)

Goals:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  b0 : All2i R n [] []
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({| pr1 := {| pr1 := n; pr2 := {| pr1 := []; pr2 := [] |} |}; pr2 := b0 |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                        All2i_nil b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b0
          (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b0 e) =
        e)

  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
DepElim.introduce p
Level 4: evaluation returns
DepElim.introduce p; DepElim.elim_case p || destruct p || (case p; clear p)
where
p := b
of type
constr of type tacvalue

Level 4: evaluation returns
DepElim.introduce p; DepElim.elim_case p || destruct p || (case p; clear p)
where
p := b
of type
constr of type tacvalue

Level 3: evaluation returns
DepElim.introduce p; DepElim.elim_case p || destruct p || (case p; clear p)
where
p := b
of type
constr of type tacvalue

Level 3: evaluation returns
DepElim.introduce p; DepElim.elim_case p || destruct p || (case p; clear p)
where
p := b
of type
constr of type tacvalue


Goals:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  b0 : All2i R n [] []
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({| pr1 := {| pr1 := n; pr2 := {| pr1 := []; pr2 := [] |} |}; pr2 := b0 |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                        All2i_nil b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b0
          (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b0 e) =
        e)

  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
fun p => first
             [ match p with
               | _ => generalize dependent p; intros p
               end
             | intros
             until
             p
             | intros
             until
             1
             | intros ]

Goals:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  b0 : All2i R n [] []
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({| pr1 := {| pr1 := n; pr2 := {| pr1 := []; pr2 := [] |} |}; pr2 := b0 |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                        All2i_nil b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b0
          (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b0 e) =
        e)

  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : R n x y
  a : All2i R (S n) l r
  b0 : All2i R n (x :: l) (y :: r)
  b'' : nat
  b''0 : list A
  b' : list B
  b : All2i R b'' b''0 b'
  ============================
   ({|
      pr1 := {| pr1 := n; pr2 := {| pr1 := x :: l; pr2 := y :: r |} |};
      pr2 := b0
    |} =
    {|
      pr1 := {| pr1 := b''; pr2 := {| pr1 := b''0; pr2 := b' |} |}; pr2 := b
    |}
    → ∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                        (x :: l) (y :: r) 
                                        (All2i_cons r0 a) b0),
        let H0 := CoreTactics.block in
        noConfusionHom_All2i_obligation_2 A B R n 
          (x :: l) (y :: r) (All2i_cons r0 a) b0
          (noConfusionHom_All2i_obligation_1 A B R n 
             (x :: l) (y :: r) (All2i_cons r0 a) b0 e) = e)


DEBUG:Going to execute:
first
[ match p with
  | _ => generalize dependent p; intros p
  end
| intros
until
p
| intros
until
1
| intros ]