Goal:
  
  ============================
   (forall (A : Type) (p : positive) (x : A), get' p (set0 p x) = Some x)


DEBUG:Going to execute:
induction p

Goals:
    A : Type  p : positive  IHp : forall x : A, get' p (set0 p x) = Some x
  ============================
   (forall x : A, get' (xI p) (set0 (xI p) x) = Some x)

    A : Type  p : positive  IHp : forall x : A, get' p (set0 p x) = Some x
  ============================
   (forall x : A, get' (xO p) (set0 (xO p) x) = Some x)

    A : Type
  ============================
   (forall x : A, get' xH (set0 xH x) = Some x)


DEBUG:Going to execute:
simpl

Goals:
    A : Type  p : positive  IHp : forall x : A, get' p (set0 p x) = Some x
  ============================
   (forall x : A, get' p (set0 p x) = Some x)

    A : Type  p : positive  IHp : forall x : A, get' p (set0 p x) = Some x
  ============================
   (forall x : A, get' p (set0 p x) = Some x)

    A : Type
  ============================
   (forall x : A, Some x = Some x)


DEBUG:Going to execute:
auto

Goals:
    A : Type  p : positive  IHp : forall x : A, get' p (set0 p x) = Some x
  ============================
   (forall x : A, get' p (set0 p x) = Some x)

    A : Type  p : positive  IHp : forall x : A, get' p (set0 p x) = Some x
  ============================
   (forall x : A, get' p (set0 p x) = Some x)

    A : Type
  ============================
   (forall x : A, Some x = Some x)


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