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


DEBUG:Going to execute:
destruct p

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

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


DEBUG:Going to execute:
DepElim.simpl_dep_elim

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

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


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
  ============================
   ([] = []
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in All (λ x : A, P x × Q x) [])

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


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

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

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


DEBUG:Going to execute:
DepElim.simplify_dep_elim

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

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


DEBUG:Going to execute:
repeat DepElim.simplify_one_dep_elim