Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  d : A
  Γ0 : list A
  a : A
  Γ' : list A
  Hrel : All2_fold P Γ0 Γ'
  p : P Γ0 Γ' d a
  ============================
   (All2_fold P Γ0 Γ' × P Γ0 Γ' ?d a)


DEBUG:Going to execute:
fun => <coq-core.plugins.ltac::split@0>

Goals:
  
  A : Type
  P : list A → list A → A → A → Type
  d : A
  Γ0 : list A
  a : A
  Γ' : list A
  Hrel : All2_fold P Γ0 Γ'
  p : P Γ0 Γ' d a
  ============================
   (All2_fold P Γ0 Γ')

  
  A : Type
  P : list A → list A → A → A → Type
  d : A
  Γ0 : list A
  a : A
  Γ' : list A
  Hrel : All2_fold P Γ0 Γ'
  p : P Γ0 Γ' d a
  ============================
   (P Γ0 Γ' ?d a)


DEBUG:Going to execute:
<Coq.Init.Tauto.not_dep_intros>

Goals:
  
  A : Type
  P : list A → list A → A → A → Type
  d : A
  Γ0 : list A
  a : A
  Γ' : list A
  Hrel : All2_fold P Γ0 Γ'
  p : P Γ0 Γ' d a
  ============================
   (All2_fold P Γ0 Γ')

  
  A : Type
  P : list A → list A → A → A → Type
  d : A
  Γ0 : list A
  a : A
  Γ' : list A
  Hrel : All2_fold P Γ0 Γ'
  p : P Γ0 Γ' d a
  ============================
   (P Γ0 Γ' ?d a)


DEBUG:Going to execute:
repeat
            match goal with
            | |- ?X1 → ?X2 => intro
            | |- ¬ _ => unfold not at 1; intro
            end