Goal:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  Δ : list A
  d : A
  Γ : list A
  hlen : #|d :: Γ| = #|Δ|
  ha : All_fold P Γ
  p : P Γ d
  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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) Δ)


DEBUG:Going to execute:
destruct p

Goals:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  hlen : #|d :: Γ| = #|[]|
  ha : 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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  d0 : A
  Γ0 : list A
  hlen : #|d :: Γ| = #|d0 :: Γ0|
  ha : All_fold P Γ
  p : P Γ d
  hb : All_fold P Γ0
  p0 : P Γ0 d0
  ============================
   (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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) (d0 :: Γ0))


DEBUG:Going to execute:
DepElim.simpl_dep_elim

Goals:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  hlen : #|d :: Γ| = #|[]|
  ha : 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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  d0 : A
  Γ0 : list A
  hlen : #|d :: Γ| = #|d0 :: Γ0|
  ha : All_fold P Γ
  p : P Γ d
  hb : All_fold P Γ0
  p0 : P Γ0 d0
  ============================
   (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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) (d0 :: Γ0))


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
  d : A
  Γ : list A
  hlen : #|d :: Γ| = #|[]|
  ha : 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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  d0 : A
  Γ0 : list A
  hlen : #|d :: Γ| = #|d0 :: Γ0|
  ha : All_fold P Γ
  p : P Γ d
  hb : All_fold P Γ0
  p0 : P Γ0 d0
  ============================
   (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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) (d0 :: Γ0))


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
  d : A
  Γ : list A
  hlen : #|d :: Γ| = #|[]|
  ha : 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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  d0 : A
  Γ0 : list A
  hlen : #|d :: Γ| = #|d0 :: Γ0|
  ha : All_fold P Γ
  p : P Γ d
  hb : All_fold P Γ0
  p0 : P Γ0 d0
  ============================
   (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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) (d0 :: Γ0))


DEBUG:Going to execute:
DepElim.simplify_dep_elim

Goals:
  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  hlen : #|d :: Γ| = #|[]|
  ha : 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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) [])

  
  A : Type
  P : list A → A → Type
  Q : list A → list A → A → A → Type
  d : A
  Γ : list A
  d0 : A
  Γ0 : list A
  hlen : #|d :: Γ| = #|d0 :: Γ0|
  ha : All_fold P Γ
  p : P Γ d
  hb : All_fold P Γ0
  p0 : P Γ0 d0
  ============================
   (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)
    → (∀ Δ : list A, #|Γ| = #|Δ| → All_fold P Δ → All2_fold Q Γ Δ)
      → let H0 := CoreTactics.block in All2_fold Q (d :: Γ) (d0 :: Γ0))


DEBUG:Going to execute:
repeat DepElim.simplify_one_dep_elim