Goal:
  
  A : Type
  B : Type
  C : Type
  P : nat → A → B → Type
  Q : B → C → Type
  R : nat → A → C → Type
  S : nat → A → C → Type
  l'' : list C
  n : nat
  x : A
  y : B
  l : list A
  r : list B
  r0 : P n x y
  a : All2i P (Datatypes.S n) l r
  b1' : list B
  b1 : list C
  b : All2 Q b1' b1
  ============================
   ({| pr1 := y :: r; pr2 := l'' |} = {| pr1 := b1'; pr2 := b1 |}
    → let H := CoreTactics.block in
      All2i R n (x :: l) l''
      → (∀ (n : nat) (x : A) (y : B) (z : C),
           P n x y → Q y z → R n x z → S n x z)
        → (∀ l'' : list C,
             All2 Q r l''
             → All2i R (Datatypes.S n) l l'' → All2i S (Datatypes.S n) l l'')
          → let H0 := CoreTactics.block in All2i S n (x :: l) l'')


DEBUG:Going to execute:
DepElim.introduce p
Level 2: evaluation returns
DepElim.introduce p; DepElim.elim_case p || destruct p || (case p; clear p)
where
p := b
of type
constr of type tacvalue

Level 1: evaluation returns
DepElim.introduce p; DepElim.elim_case p || destruct p || (case p; clear p)
where
p := b
of type
constr of type tacvalue