Goal:
  
  A : Type
  P : list A → list A → A → A → Type
  a : A
  Γ : list A
  Γ' : list A
  Hrel1 : sigma (λ _ : list A, list A)
  Hrel : All2_fold P (pr1 Hrel1) (pr2 Hrel1)
  ============================
   ({| pr1 := a :: Γ; pr2 := Γ' |} = Hrel1
    → let H := CoreTactics.block in
      let H0 := CoreTactics.block in
      ∑ d' : A,
        nth_error Γ' 0 = Some d'
        × (let Γs := skipn 1 (a :: Γ) in
           let Γs' := skipn 1 Γ' in All2_fold P Γs Γs' × P Γs Γs' a d'))


DEBUG:Going to execute:
hnf in id
Level 4: evaluation returns
hnf in id;
 match type of id with
 | sigma _ =>
     let xn := fresh id "'" in
     destruct id as [xn id]; DepElim.decompose_exists xn id;
      cbv beta iota delta [TODO projection TODO projection] in id, id';
      DepElim.decompose_exists id id'
 | _ => cbv beta iota delta [TODO projection TODO projection] in id, id'
 end
where
id' := Hrel
of type
constr
id := Hrel1
of type
constr of type tacvalue

Level 3: evaluation returns
hnf in id;
 match type of id with
 | sigma _ =>
     let xn := fresh id "'" in
     destruct id as [xn id]; DepElim.decompose_exists xn id;
      cbv beta iota delta [TODO projection TODO projection] in id, id';
      DepElim.decompose_exists id id'
 | _ => cbv beta iota delta [TODO projection TODO projection] in id, id'
 end
where
id' := Hrel
of type
constr
id := Hrel1
of type
constr of type tacvalue