Goal:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  Δ : list A
  hlen : #|[]| = #|Δ|
  hb : All_fold P Δ
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] Δ)


DEBUG:Going to execute:
destruct p

Goals:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  hlen : #|[]| = #|[]|
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  hlen : #|[]| = #|d :: Γ|
  hb : All_fold P Γ
  p : P Γ d
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] (d :: Γ))


DEBUG:Going to execute:
DepElim.simpl_dep_elim

Goals:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  hlen : #|[]| = #|[]|
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  hlen : #|[]| = #|d :: Γ|
  hb : All_fold P Γ
  p : P Γ d
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] (d :: Γ))


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

Goals:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  hlen : #|[]| = #|[]|
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  hlen : #|[]| = #|d :: Γ|
  hb : All_fold P Γ
  p : P Γ d
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] (d :: Γ))


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

Goals:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  hlen : #|[]| = #|[]|
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  hlen : #|[]| = #|d :: Γ|
  hb : All_fold P Γ
  p : P Γ d
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] (d :: Γ))


DEBUG:Going to execute:
DepElim.simplify_dep_elim

Goals:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  hlen : #|[]| = #|[]|
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  hlen : #|[]| = #|d :: Γ|
  hb : All_fold P Γ
  p : P Γ d
  ============================
   (let H := CoreTactics.block in
    (∀ (Δ Δ' : list A) (x y : A),
       All_fold P Δ
       → All_fold P Δ' → All2_fold Q Δ Δ' → P Δ x → P Δ' y → Q Δ Δ' x y)
    → let H0 := CoreTactics.block in All2_fold Q [] (d :: Γ))


DEBUG:Going to execute:
repeat DepElim.simplify_one_dep_elim