Goal:
    A : Type  p : A → bool  q : A → bool  hpq : p =1 q  l : list A
  ============================
   (forallb p l = forallb q l)


DEBUG:Going to execute:
induction l

Goals:
    A : Type  p : A → bool  q : A → bool  hpq : p =1 q
  ============================
   (forallb p [] = forallb q [])

  
  A : Type
  p : A → bool
  q : A → bool
  hpq : p =1 q
  a : A
  l : list A
  IHl : forallb p l = forallb q l
  ============================
   (forallb p (a :: l) = forallb q (a :: l))


DEBUG:Going to execute:
simpl
DEBUG LTAC Evaluated term: l

Goals:
    A : Type  p : A → bool  q : A → bool  hpq : p =1 q
  ============================
   (true = true)

  
  A : Type
  p : A → bool
  q : A → bool
  hpq : p =1 q
  a : A
  l : list A
  IHl : forallb p l = forallb q l
  ============================
   (p a && forallb p l = q a && forallb q l)


DEBUG:Going to execute:
auto

Goals:
    A : Type  p : A → bool  q : A → bool  hpq : p =1 q
  ============================
   (true = true)

  
  A : Type
  p : A → bool
  q : A → bool
  hpq : p =1 q
  a : A
  l : list A
  IHl : forallb p l = forallb q l
  ============================
   (p a && forallb p l = q a && forallb q l)


DEBUG:Going to execute:
<coq-core.plugins.ltac::auto@0> $1 $2 $3