Goal:
  
  A : Type
  H : ReflectEq A
  a1 : A
  l1 : list A
  a2 : A
  l2 : list A
  prefix : list A
  l1' : list A
  l2' : list A
  Heq : split_prefix l1 l2 = (prefix, l1', l2')
  Hind : ∀ l : list A,
           is_prefix l l1
           → is_prefix l l2 → is_prefix l (fst (fst (split_prefix l1 l2)))
  Heq0 : (a1 == a2) = true
  l : list A
  Heqcall : (a1 :: prefix, l1', l2') = split_prefix (a1 :: l1) (a2 :: l2)
  ============================
   (is_prefix l (a1 :: l1)
    → is_prefix l (a2 :: l2)
      → is_prefix l (fst (fst (split_prefix (a1 :: l1) (a2 :: l2)))))


DEBUG:Going to execute:
match goal with
           | hyp:context [ CoreTactics.block ]
             |- _ =>
                 cbn beta in hyp; eqns_specialize_eqs_block hyp;
                  cbn[eq_rect_r eq_rect] in hyp
           end
Level 1: Backtrace:

No matching clauses for match.

Goals:
    A : Type  H : ReflectEq A  l2 : list A  l : list A
  ============================
   (is_prefix l []
    → is_prefix l l2 → is_prefix l (fst (fst (split_prefix [] l2))))

    A : Type  H : ReflectEq A  a : A  l : list A  l0 : list A
  ============================
   (is_prefix l0 (a :: l)
    → is_prefix l0 [] → is_prefix l0 (fst (fst (split_prefix (a :: l) []))))

  
  A : Type
  H : ReflectEq A
  a1 : A
  l1 : list A
  a2 : A
  l2 : list A
  Heq : (a1 == a2) = false
  l : list A
  Heqcall : ([], a1 :: l1, a2 :: l2) = split_prefix (a1 :: l1) (a2 :: l2)
  ============================
   (is_prefix l (a1 :: l1)
    → is_prefix l (a2 :: l2)
      → is_prefix l (fst (fst (split_prefix (a1 :: l1) (a2 :: l2)))))

  
  A : Type
  H : ReflectEq A
  a1 : A
  l1 : list A
  a2 : A
  l2 : list A
  prefix : list A
  l1' : list A
  l2' : list A
  Heq : split_prefix l1 l2 = (prefix, l1', l2')
  Hind : ∀ l : list A,
           is_prefix l l1
           → is_prefix l l2 → is_prefix l (fst (fst (split_prefix l1 l2)))
  Heq0 : (a1 == a2) = true
  l : list A
  Heqcall : (a1 :: prefix, l1', l2') = split_prefix (a1 :: l1) (a2 :: l2)
  ============================
   (is_prefix l (a1 :: l1)
    → is_prefix l (a2 :: l2)
      → is_prefix l (fst (fst (split_prefix (a1 :: l1) (a2 :: l2)))))


DEBUG:Going to execute:
tac c
Level 1: Backtrace:

No matching clauses for match.

Goals:
    A : Type  H : ReflectEq A  l2 : list A  l : list A
  ============================
   (is_prefix l []
    → is_prefix l l2 → is_prefix l (fst (fst (split_prefix [] l2))))

    A : Type  H : ReflectEq A  a : A  l : list A  l0 : list A
  ============================
   (is_prefix l0 (a :: l)
    → is_prefix l0 [] → is_prefix l0 (fst (fst (split_prefix (a :: l) []))))

  
  A : Type
  H : ReflectEq A
  a1 : A
  l1 : list A
  a2 : A
  l2 : list A
  Heq : (a1 == a2) = false
  l : list A
  Heqcall : ([], a1 :: l1, a2 :: l2) = split_prefix (a1 :: l1) (a2 :: l2)
  ============================
   (is_prefix l (a1 :: l1)
    → is_prefix l (a2 :: l2)
      → is_prefix l (fst (fst (split_prefix (a1 :: l1) (a2 :: l2)))))

  
  A : Type
  H : ReflectEq A
  a1 : A
  l1 : list A
  a2 : A
  l2 : list A
  prefix : list A
  l1' : list A
  l2' : list A
  Heq : split_prefix l1 l2 = (prefix, l1', l2')
  Hind : ∀ l : list A,
           is_prefix l l1
           → is_prefix l l2 → is_prefix l (fst (fst (split_prefix l1 l2)))
  Heq0 : (a1 == a2) = true
  l : list A
  Heqcall : (a1 :: prefix, l1', l2') = split_prefix (a1 :: l1) (a2 :: l2)
  ============================
   (is_prefix l (a1 :: l1)
    → is_prefix l (a2 :: l2)
      → is_prefix l (fst (fst (split_prefix (a1 :: l1) (a2 :: l2)))))


DEBUG:Going to execute:
idtac