The ruling on one who realizes during an obligatory prayer that he did not pray the one before it

Question:
If he realizes during the 'Asr prayer that he did not pray the Zuhr prayer?

Answer:
He breaks it and prays the Zuhr, intending it as Zuhr, changing his intention.
Q: Does he start over?
A: He starts over, yes.
Q: After breaking it, changing the intention?
A: He starts over and intends the Zuhr prayer with the current prayer, then he prays the 'Asr.
Q: Does he break it?
A: By intention, by intention, and he is in his place, in his standing position, he breaks it and says the takbir intending the Zuhr, and he completes with the imam, and he makes up what he missed, then he prays the 'Asr after that.
Q: Does he break it then say the takbir?
A: He says a new takbir with the intention of the missed prayer and completes it, then he performs the new one.
Q: A new intention and a new takbir?
A: Yes, a new intention and a new takbir; because he broke the first one.