Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  Γ : list A
  Γ' : list A
  a : A
  Δ : list A
  a0 : A
  Δ' : list A
  H : S #|Δ| = S #|Δ'|
  IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
        → All2_fold P Γ Γ'
          × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
  H'1' : list A
  H'1 : list A
  H' : All2_fold P H'1' H'1
  ============================
   ({| pr1 := a :: Δ ++ Γ; pr2 := a0 :: Δ' ++ Γ' |} =
    {| pr1 := H'1'; pr2 := H'1 |}
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in
      All2_fold P Γ Γ'
      × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) 
          (a :: Δ) (a0 :: Δ'))


DEBUG:Going to execute:
destruct p || (case p; clear p)
Level 4: evaluation of term
raised the exception
Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1


Level 3: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1

Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1

Level 2: evaluation
raised the exception
Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1


Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1

Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1

Level 1: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1

Level 1: evaluation
raised the exception
Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1


Level 1: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1

Level 0: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2_fold P H'1' H'1)"
in
environment:
A : Type
P : list A → list A → A → A → Type
Γ, Γ' : list A
a : A
Δ : list A
a0 : A
Δ' : list A
H : S #|Δ| = S #|Δ'|
IHΔ : All2_fold P (Δ ++ Γ) (Δ' ++ Γ')
      → All2_fold P Γ Γ'
        × All2_fold (λ Δ Δ' : list A, P (Δ ++ Γ) (Δ' ++ Γ')) Δ Δ'
H'1', H'1 : list A
H' : All2_fold P H'1' H'1