Goal:
  
  A : Type
  B : Type
  R : A → B → Type
  a : A
  l1 : list A
  IHl1 : ∀ (l2 : list A) (r : list B),
           All2 R (l1 ++ l2) r
           → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
  l2 : list A
  r : list B
  X1' : list A
  X1 : list B
  X : All2 R X1' X1
  ============================
   ({| pr1 := a :: l1 ++ l2; pr2 := r |} = {| pr1 := X1'; pr2 := X1 |}
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in
      ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R (a :: l1) r1 × All2 R l2 r2)


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 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1


Level 3: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1

Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1

Level 2: evaluation
raised the exception
Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1


Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1

Level 2: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1

Level 1: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1

Level 1: evaluation
raised the exception
Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1


Level 1: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1

Level 0: Backtrace:


Could not find an instance for "DepElim.DependentEliminationPackage
                                  (All2 R X1' X1)"
in
environment:
A : Type
B : Type
R : A → B → Type
a : A
l1 : list A
IHl1 : ∀ (l2 : list A) (r : list B),
         All2 R (l1 ++ l2) r
         → ∑ r1 r2 : list B, r = r1 ++ r2 × All2 R l1 r1 × All2 R l2 r2
l2 : list A
r : list B
X1' : list A
X1 : list B
X : All2 R X1' X1