Goal:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  xs : list A
  ys : list B
  a : All2 R xs ys
  a0 : All2_dep R' a
  b : All2_dep R' a
  H : NoConfusionHom_All2_dep A B R R' xs ys a a0 b
  ============================
   (a0 = b)


DEBUG:Going to execute:
destruct a
Level 3: evaluation returns
idtac of type tacvalue


Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.depelim b

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
fun id =>
             DepElim.do_depelim ltac:(fun hyp => DepElim.do_case hyp) id

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.do_depelim ltac:(fun hyp => DepElim.do_case hyp) id

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
fun tac H =>
             DepElim.do_depelim_nosimpl tac H; DepElim.simpl_dep_elim;
              CoreTactics.unblock_goal

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
fun hyp => DepElim.do_case hyp

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.do_depelim_nosimpl tac H; DepElim.simpl_dep_elim;
            CoreTactics.unblock_goal

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.do_depelim_nosimpl tac H; DepElim.simpl_dep_elim
Level 4: evaluation returns
DepElim.do_depelim_nosimpl tac H; DepElim.simpl_dep_elim;
 CoreTactics.unblock_goal
where
tac := fun hyp => DepElim.do_case hyp
       where
       id := b
       of type
       constr
of type
tacvalue
H := b
of type
constr of type tacvalue

Level 4: evaluation returns
DepElim.do_depelim_nosimpl tac H; DepElim.simpl_dep_elim;
 CoreTactics.unblock_goal
where
tac := fun hyp => DepElim.do_case hyp
       where
       id := b
       of type
       constr
of type
tacvalue
H := b
of type
constr of type tacvalue

Level 3: evaluation returns
DepElim.do_depelim_nosimpl tac H; DepElim.simpl_dep_elim;
 CoreTactics.unblock_goal
where
tac := fun hyp => DepElim.do_case hyp
       where
       id := b
       of type
       constr
of type
tacvalue
H := b
of type
constr of type tacvalue

Level 3: evaluation returns
DepElim.do_depelim_nosimpl tac H; DepElim.simpl_dep_elim;
 CoreTactics.unblock_goal
where
tac := fun hyp => DepElim.do_case hyp
       where
       id := b
       of type
       constr
of type
tacvalue
H := b
of type
constr of type tacvalue


Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.do_depelim_nosimpl tac H

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
fun tac H =>
             DepElim.do_intros H; DepElim.generalize_by_eqs H; tac H

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.do_intros H; DepElim.generalize_by_eqs H; tac H

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.do_intros H; DepElim.generalize_by_eqs H
Level 3: evaluation returns
DepElim.do_intros H; DepElim.generalize_by_eqs H; tac H
where
tac := fun hyp => DepElim.do_case hyp
       where
       id := b
       of type
       constr
of type
tacvalue
H := b
of type
constr of type tacvalue

Level 3: evaluation returns
DepElim.do_intros H; DepElim.generalize_by_eqs H; tac H
where
tac := fun hyp => DepElim.do_case hyp
       where
       id := b
       of type
       constr
of type
tacvalue
H := b
of type
constr of type tacvalue


Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
DepElim.do_intros H

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
fun H =>
             try intros until H; intro_block_id H || intro_block H;
              (try simpl in H; DepElim.simplify_equations_in H)

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
try intros until H; intro_block_id H || intro_block H;
            (try simpl in H; DepElim.simplify_equations_in H)

Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
try intros until H; intro_block_id H || intro_block H
Level 3: evaluation returns
try intros until H; intro_block_id H || intro_block H;
 (try simpl in H; DepElim.simplify_equations_in H)
where
H := b
of type
constr of type tacvalue

Level 3: evaluation returns
try intros until H; intro_block_id H || intro_block H;
 (try simpl in H; DepElim.simplify_equations_in H)
where
H := b
of type
constr of type tacvalue


Goals:
  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  b : All2_dep R' All2_nil
  H : NoConfusionHom_All2_dep A B R R' [] [] All2_nil All2_dep_nil b
  ============================
   (All2_dep_nil = b)

  
  A : Type
  B : Type
  R : A → B → Type
  R' : ∀ (a : A) (b : B), R a b → Type
  x : A
  y : B
  l : list A
  l' : list B
  r : R x y
  rs : All2 R l l'
  r0 : R' x y r
  a0 : All2_dep R' rs
  b : All2_dep R' (All2_cons r rs)
  H : NoConfusionHom_All2_dep A B R R' (x :: l) (y :: l') 
        (All2_cons r rs) (All2_dep_cons r0 a0) b
  ============================
   (All2_dep_cons r0 a0 = b)


DEBUG:Going to execute:
try intros until H