Goal:
  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  ha1 : list A
  ha : All P ha1
  ============================
   (a :: l = ha1
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))


DEBUG:Going to execute:
destruct p

Goals:
  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  ============================
   (a :: l = []
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))

  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  x : A
  l0 : list A
  p : P x
  ha : All P l0
  ============================
   (a :: l = x :: l0
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))


DEBUG:Going to execute:
DepElim.simpl_dep_elim

Goals:
  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  ============================
   (a :: l = []
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))

  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  x : A
  l0 : list A
  p : P x
  ha : All P l0
  ============================
   (a :: l = x :: l0
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))


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

Goals:
  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  ============================
   (a :: l = []
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))

  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  x : A
  l0 : list A
  p : P x
  ha : All P l0
  ============================
   (a :: l = x :: l0
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))


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

Goals:
  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  ============================
   (a :: l = []
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))

  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  x : A
  l0 : list A
  p : P x
  ha : All P l0
  ============================
   (a :: l = x :: l0
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))


DEBUG:Going to execute:
DepElim.simplify_dep_elim

Goals:
  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  ============================
   (a :: l = []
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))

  
  A : Type
  P : A → Prop
  Q : A → Prop
  a : A
  l : list A
  a0 : A
  l' : list A
  IHl : All P l → All Q l' → #|l| = #|l'| → All2 (λ x y : A, P x ∧ Q y) l l'
  x : A
  l0 : list A
  p : P x
  ha : All P l0
  ============================
   (a :: l = x :: l0
    → let H := CoreTactics.block in
      All Q (a0 :: l')
      → let H0 := CoreTactics.block in
        S #|l| = S #|l'| → All2 (λ x y : A, P x ∧ Q y) (a :: l) (a0 :: l'))


DEBUG:Going to execute:
repeat DepElim.simplify_one_dep_elim