Goal:
  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  Hl'1 : list A
  Hl' : All Q Hl'1
  ============================
   (x :: l = Hl'1
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))


DEBUG:Going to execute:
destruct p

Goals:
  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  ============================
   (x :: l = []
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))

  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  x0 : A
  l0 : list A
  q : Q x0
  Hl' : All Q l0
  ============================
   (x :: l = x0 :: l0
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))


DEBUG:Going to execute:
DepElim.simpl_dep_elim

Goals:
  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  ============================
   (x :: l = []
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))

  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  x0 : A
  l0 : list A
  q : Q x0
  Hl' : All Q l0
  ============================
   (x :: l = x0 :: l0
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))


DEBUG:Going to execute:
DepElim.simplify_dep_elim; DepElim.simplify_IH_hyps;
            DepElim.unblock_dep_elim

Goals:
  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  ============================
   (x :: l = []
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))

  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  x0 : A
  l0 : list A
  q : Q x0
  Hl' : All Q l0
  ============================
   (x :: l = x0 :: l0
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))


DEBUG:Going to execute:
DepElim.simplify_dep_elim; DepElim.simplify_IH_hyps

Goals:
  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  ============================
   (x :: l = []
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))

  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  x0 : A
  l0 : list A
  q : Q x0
  Hl' : All Q l0
  ============================
   (x :: l = x0 :: l0
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))


DEBUG:Going to execute:
DepElim.simplify_dep_elim

Goals:
  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  ============================
   (x :: l = []
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))

  
  A : Type
  P : A → Type
  Q : A → Type
  x : A
  l : list A
  p : P x
  Hl : All P l
  x0 : A
  l0 : list A
  q : Q x0
  Hl' : All Q l0
  ============================
   (x :: l = x0 :: l0
    → let H := CoreTactics.block in
      (All Q l → All (λ x : A, P x × Q x) l)
      → let H0 := CoreTactics.block in All (λ x : A, P x × Q x) (x :: l))


DEBUG:Going to execute:
repeat DepElim.simplify_one_dep_elim