Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  HP : ∀ (Γ Γ' Γ'' : list A) (x y z : A),
         All2_fold P Γ Γ'
         → All2_fold P Γ' Γ''
           → All2_fold P Γ Γ'' → P Γ Γ' x y → P Γ' Γ'' y z → P Γ Γ'' x z
  d'0 : A
  Γ'0 : list A
  d : A
  d' : A
  Γ : list A
  Γ' : list A
  H : All2_fold P Γ Γ'
  p : P Γ Γ' d d'
  IHAll2_fold : ∀ z : list A, All2_fold P Γ' z → All2_fold P Γ z
  H' : All2_fold P Γ' Γ'0
  p0 : P Γ' Γ'0 d' d'0
  ============================
   (let H := CoreTactics.block in
    let H0 := CoreTactics.block in All2_fold P (d :: Γ) (d'0 :: Γ'0))


DEBUG:Going to execute:
cbv beta