Goal:
  
  A : Type
  B : Type
  R : A → B → Prop
  P : A → Prop
  x : A
  y : B
  l : list A
  l' : list B
  H : R x y
  H0 : Forall2 R l l'
  IHForall2 : Forall P l → Forall2 (λ (x : A) (y : B), P x ∧ R x y) l l'
  H2 : P x
  H3 : Forall P l
  ============================
   (Forall2 (λ (x : A) (y : B), P x ∧ R x y) l l')


DEBUG:Going to execute:
match goal with
           | |- ?X1 → ?X2 => intro
           | |- ¬ _ => unfold not at 1; intro
           end
Level 0: Backtrace:

No matching clauses for match.

Goals:
  
  A : Type
  B : Type
  R : A → B → Prop
  P : A → Prop
  x : A
  y : B
  l : list A
  l' : list B
  H : R x y
  H0 : Forall2 R l l'
  IHForall2 : Forall P l → Forall2 (λ (x : A) (y : B), P x ∧ R x y) l l'
  H2 : P x
  H3 : Forall P l
  ============================
   (P x ∧ R x y)

  
  A : Type
  B : Type
  R : A → B → Prop
  P : A → Prop
  x : A
  y : B
  l : list A
  l' : list B
  H : R x y
  H0 : Forall2 R l l'
  IHForall2 : Forall P l → Forall2 (λ (x : A) (y : B), P x ∧ R x y) l l'
  H2 : P x
  H3 : Forall P l
  ============================
   (Forall2 (λ (x : A) (y : B), P x ∧ R x y) l l')


DEBUG:Going to execute:
repeat
            (match reverse goal with
             | id:?X1
               |- _ =>
                   <Coq.Init.Tauto.is_conj> flags X1; elim id; do 2 intro;
                    clear id
             | id:_ ↔ _ |- _ => elim id; do 2 intro; clear id
             | id:¬ _ |- _ => red in id
             | id:?X1
               |- _ =>
                   <Coq.Init.Tauto.is_disj> flags X1; elim id; intro; clear
                    id
             | _ =>
                 <Coq.Init.Tauto.find_cut>
                  ltac:(fun id0 id1 X2 =>
                          assert X2; [ exact (id0 id1) | clear id0 ])
             | id:?X1 → ?X2
               |- _ =>
                   <Coq.Init.Tauto.is_unit_or_eq> flags X1; Ltac.cut X2;
                    [ intro; clear id
                    | Ltac.cut X1; [ exact id | constructor 1; fail ] ]
             | id:?X1 → ?X2
               |- _ =>
                   <Coq.Init.Tauto.flatten_contravariant_conj> flags X1 X2 id
             | id:?X1 ↔ ?X2 → ?X3
               |- _ =>
                   assert ((X1 → X2) → (X2 → X1) → X3) by
                    (do 2 intro; apply id; Ltac.split; Ltac.assumption);
                    clear id
             | id:?X1 → ?X2
               |- _ =>
                   <Coq.Init.Tauto.flatten_contravariant_disj> flags X1 X2 id
             | |- ?X1 => <Coq.Init.Tauto.is_conj> flags X1; Ltac.split
             | |- _ ↔ _ => Ltac.split
             | |- ¬ _ => red
             end; <Coq.Init.Tauto.not_dep_intros>)
Level 0: Backtrace:

No matching clauses for match.