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
  b : All2i R n (x :: l) (y :: r)
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                      (x :: l) (y :: r) 
                                      (All2i_cons r0 a) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
        (y :: r) (All2i_cons r0 a) b
        (noConfusionHom_All2i_obligation_1 A B R n 
           (x :: l) (y :: r) (All2i_cons r0 a) b e) = e)


DEBUG:Going to execute:
simpl in H

Goals:
    A : Type  B : Type  R : nat → A → B → Type  n : nat  b : All2i R n [] []
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                      All2i_nil b),
      let H0 := CoreTactics.block in
      noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b
        (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b 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
  b : All2i R n (x :: l) (y :: r)
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                      (x :: l) (y :: r) 
                                      (All2i_cons r0 a) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
        (y :: r) (All2i_cons r0 a) b
        (noConfusionHom_All2i_obligation_1 A B R n 
           (x :: l) (y :: r) (All2i_cons r0 a) b e) = e)


DEBUG:Going to execute:
DepElim.simplify_equations_in H

Goals:
    A : Type  B : Type  R : nat → A → B → Type  n : nat  b : All2i R n [] []
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                      All2i_nil b),
      let H0 := CoreTactics.block in
      noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b
        (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b 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
  b : All2i R n (x :: l) (y :: r)
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                      (x :: l) (y :: r) 
                                      (All2i_cons r0 a) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
        (y :: r) (All2i_cons r0 a) b
        (noConfusionHom_All2i_obligation_1 A B R n 
           (x :: l) (y :: r) (All2i_cons r0 a) b e) = e)


DEBUG:Going to execute:
fun e =>
             repeat progress (autounfold with equations in e; simpl in e)

Goals:
    A : Type  B : Type  R : nat → A → B → Type  n : nat  b : All2i R n [] []
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n [] []
                                      All2i_nil b),
      let H0 := CoreTactics.block in
      noConfusionHom_All2i_obligation_2 A B R n [] [] All2i_nil b
        (noConfusionHom_All2i_obligation_1 A B R n [] [] All2i_nil b 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
  b : All2i R n (x :: l) (y :: r)
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All2i A B R n 
                                      (x :: l) (y :: r) 
                                      (All2i_cons r0 a) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All2i_obligation_2 A B R n (x :: l) 
        (y :: r) (All2i_cons r0 a) b
        (noConfusionHom_All2i_obligation_1 A B R n 
           (x :: l) (y :: r) (All2i_cons r0 a) b e) = e)


DEBUG:Going to execute:
repeat progress (autounfold with equations in e; simpl in e)