Goal:
  
  A : Type
  P : list A → A → Type
  d : A
  Γ : list A
  a : All_fold P Γ
  p : P Γ d
  b : All_fold P (d :: Γ)
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All_fold A P 
                                      (d :: Γ) (All_fold_cons P a p) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All_fold_obligation_2 A P (d :: Γ) 
        (All_fold_cons P a p) b
        (noConfusionHom_All_fold_obligation_1 A P 
           (d :: Γ) (All_fold_cons P a p) b e) = e)


DEBUG:Going to execute:
simpl in H

Goals:
    A : Type  P : list A → A → Type  b : All_fold P []
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All_fold A P []
                                      (All_fold_nil P) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All_fold_obligation_2 A P [] 
        (All_fold_nil P) b
        (noConfusionHom_All_fold_obligation_1 A P [] (All_fold_nil P) b e) =
      e)

  
  A : Type
  P : list A → A → Type
  d : A
  Γ : list A
  a : All_fold P Γ
  p : P Γ d
  b : All_fold P (d :: Γ)
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All_fold A P 
                                      (d :: Γ) (All_fold_cons P a p) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All_fold_obligation_2 A P (d :: Γ) 
        (All_fold_cons P a p) b
        (noConfusionHom_All_fold_obligation_1 A P 
           (d :: Γ) (All_fold_cons P a p) b e) = e)


DEBUG:Going to execute:
DepElim.simplify_equations_in H

Goals:
    A : Type  P : list A → A → Type  b : All_fold P []
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All_fold A P []
                                      (All_fold_nil P) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All_fold_obligation_2 A P [] 
        (All_fold_nil P) b
        (noConfusionHom_All_fold_obligation_1 A P [] (All_fold_nil P) b e) =
      e)

  
  A : Type
  P : list A → A → Type
  d : A
  Γ : list A
  a : All_fold P Γ
  p : P Γ d
  b : All_fold P (d :: Γ)
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All_fold A P 
                                      (d :: Γ) (All_fold_cons P a p) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All_fold_obligation_2 A P (d :: Γ) 
        (All_fold_cons P a p) b
        (noConfusionHom_All_fold_obligation_1 A P 
           (d :: Γ) (All_fold_cons P a p) b e) = e)


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

Goals:
    A : Type  P : list A → A → Type  b : All_fold P []
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All_fold A P []
                                      (All_fold_nil P) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All_fold_obligation_2 A P [] 
        (All_fold_nil P) b
        (noConfusionHom_All_fold_obligation_1 A P [] (All_fold_nil P) b e) =
      e)

  
  A : Type
  P : list A → A → Type
  d : A
  Γ : list A
  a : All_fold P Γ
  p : P Γ d
  b : All_fold P (d :: Γ)
  ============================
   (∀ (H := CoreTactics.block) (e : NoConfusionHom_All_fold A P 
                                      (d :: Γ) (All_fold_cons P a p) b),
      let H0 := CoreTactics.block in
      noConfusionHom_All_fold_obligation_2 A P (d :: Γ) 
        (All_fold_cons P a p) b
        (noConfusionHom_All_fold_obligation_1 A P 
           (d :: Γ) (All_fold_cons P a p) b e) = e)


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