Goal:
  
  A : Type
  P : list A → A → Type
  a : A
  Γ : list A
  Δ : list A
  IHΓ : ∀ Δ : list A,
          All_fold P (Γ ++ Δ)
          → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
  X1 : list A
  X : All_fold P X1
  ============================
   (a :: Γ ++ Δ = X1
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in
      All_fold (λ Γ : list A, P (Γ ++ Δ)) (a :: Γ))


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
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1


Level 3: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1

Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1

Level 2: evaluation
raised the exception
Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1


Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1

Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1

Level 1: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1

Level 1: evaluation
raised the exception
Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1


Level 1: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1

Level 0: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All_fold P X1)"
in
environment:
A : Type
P : list A → A → Type
a : A
Γ, Δ : list A
IHΓ : ∀ Δ : list A,
        All_fold P (Γ ++ Δ)
        → All_fold P Δ × All_fold (λ Γ : list A, P (Γ ++ Δ)) Γ
X1 : list A
X : All_fold P X1