Goal:
  
  A : Type
  B : Type
  R : nat → A → B → Type
  n : nat
  l0 : list A
  l : list B
  a : All2i R n l0 l
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n l0 l a a
      (noConfusionHom_All2i_obligation_2 A B R n l0 l a a eq_refl) = eq_refl)


DEBUG:Going to execute:
destruct p

Goals:
    A : Type  B : Type  R : nat → A → B → Type  n : nat
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil All2i_nil
      (noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil All2i_nil
         eq_refl) = eq_refl)

  
  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
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n (x :: l) 
      (y :: r) (All2i_cons r0 a) (All2i_cons r0 a)
      (noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
         (y :: r) (All2i_cons r0 a) (All2i_cons r0 a) eq_refl) = eq_refl)


DEBUG:Going to execute:
DepElim.simpl_dep_elim

Goals:
    A : Type  B : Type  R : nat → A → B → Type  n : nat
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil All2i_nil
      (noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil All2i_nil
         eq_refl) = eq_refl)

  
  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
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n (x :: l) 
      (y :: r) (All2i_cons r0 a) (All2i_cons r0 a)
      (noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
         (y :: r) (All2i_cons r0 a) (All2i_cons r0 a) eq_refl) = eq_refl)


DEBUG:Going to execute:
DepElim.simplify_dep_elim; DepElim.simplify_IH_hyps;
            DepElim.unblock_dep_elim

Goals:
    A : Type  B : Type  R : nat → A → B → Type  n : nat
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil All2i_nil
      (noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil All2i_nil
         eq_refl) = eq_refl)

  
  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
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n (x :: l) 
      (y :: r) (All2i_cons r0 a) (All2i_cons r0 a)
      (noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
         (y :: r) (All2i_cons r0 a) (All2i_cons r0 a) eq_refl) = eq_refl)


DEBUG:Going to execute:
DepElim.simplify_dep_elim; DepElim.simplify_IH_hyps

Goals:
    A : Type  B : Type  R : nat → A → B → Type  n : nat
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil All2i_nil
      (noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil All2i_nil
         eq_refl) = eq_refl)

  
  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
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n (x :: l) 
      (y :: r) (All2i_cons r0 a) (All2i_cons r0 a)
      (noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
         (y :: r) (All2i_cons r0 a) (All2i_cons r0 a) eq_refl) = eq_refl)


DEBUG:Going to execute:
DepElim.simplify_dep_elim

Goals:
    A : Type  B : Type  R : nat → A → B → Type  n : nat
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil All2i_nil
      (noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil All2i_nil
         eq_refl) = eq_refl)

  
  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
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in
    noConfusionHom_All2i_obligation_1 A B R n (x :: l) 
      (y :: r) (All2i_cons r0 a) (All2i_cons r0 a)
      (noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
         (y :: r) (All2i_cons r0 a) (All2i_cons r0 a) eq_refl) = eq_refl)


DEBUG:Going to execute:
repeat DepElim.simplify_one_dep_elim