Goal:
  
  A : Type
  B : Type
  a : A
  l : list A
  IHl : ∀ l' : list B, #|l| = #|l'| → Forall2 (λ (_ : A) (_ : B), True) l l'
  ============================
   (S #|l| = 0 → Forall2 (λ (_ : A) (_ : B), True) (a :: l) [])


DEBUG:Going to execute:
trivial; hnf; intros; (solve
            [ do
            ![ solve
             [ trivial | apply : eq_sym ; trivial ]
             | discriminate
             | contradiction
             | Ltac.split ]
            | case not_locked_false_eq_true; Ltac.assumption
            | match goal with
              | H:¬ _ |- _ => solve [ case H; trivial ]
              end ])