The phoenix inside Dumbledore

Dumbledore pet is a Phoenix, she rises from the ashes... Dumbledore have showed us a lot of times his skills with fire.
---> When Dumbledore went to Voldemorte orphanage, to prove him that magic was real, he set fire to the cupboard where Tom hide the things that he stoled from the other childs. This is an example that Dumbledore use magic without wand.We already seen something like that: When Harry goes to the Zoo and sets free the snake: and when he inflate her taunt. In both cases, the magic is done without wand, probably by the rage. But in Dumbledore case, he set on fire the cupboard intentionally, revealling a big control with fire.
--> Dumbledore also uses fire to protect Harry from the Inferius.What I think is that Dumbledore is an animagus, he controls the fire, so he is a Phoenix, what makes him more immortal than Voldemort himself.
In the funeral Harry Could had swear for a split of second that he have seen a Phoenix flying to the sky from Dumbledore Tomb that was in fire, he rised from the ashes.
This theory is probably involved with Dumbledore dead.