Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
         All2_fold P Γ Γ'
         → All2_fold P Γ' Γ''
           → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
  z : list A
  d : A
  d' : A
  Γ : list A
  Γ' : list A
  H : All2_fold P Γ Γ'
  p : P Γ Γ' d d'
  IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
  H'1' : list A
  H'1 : list A
  H' : All2_fold P H'1' H'1
  ============================
   ({| pr1 := d' :: Γ'; pr2 := z |} = {| pr1 := H'1'; pr2 := H'1 |}
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in All2_fold P (d :: Γ) z)


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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
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
HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
       All2_fold P Γ Γ'
       → All2_fold P Γ' Γ''
         → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
z : list A
d, d' : A
Γ, Γ' : list A
H : All2_fold P Γ Γ'
p : P Γ Γ' d d'
IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
H'1', H'1 : list A
H' : All2_fold P H'1' H'1