There is no two valid Talaq together. Valid Talaq with all its conditions including declaring it in front of two Aadil ( Pious) witnesses, counts just one Talaq. There is no second Talaq immediately after it. Second Talaq can only be declared if the marriage is reinstated again, then all conditions of Talaq were accomplished. .
Iddah period after valid Talaq is three menstrual periods, and if the woman has no regular period, then it is three months.
The observation of the 'iddah period is not only to ascertain pregnancy, or not, but rather for many issues, and most importantly it is a divine ruling placed by Almighty Allah.
As long as the marriage has been consummated, even though ejaculation did not occur, when the husband divorces his wife, she will still need to observe 'iddah.
There must be a "cooling off" period for the purpose of emotional detachment, recovering from previous relationship, transitioning back to another life, society realising their marital status, and more reasons that would support the importance of 'iddah for divorce, or 'iddah for passing away of husband.
Being sterilized or using any other means of contraception don't have anything to do with observing Iddah period.
In fact preventing Ikhtilate Miah* is one of the reasons of putting this law and not the entire reason.
It is said that the respect of the previous marriage is among the reasons.
Unless she has reached the age of menopause, so in this case there is no need for observing Iddah period.
*It means the mixture of semens and to avoid uncertainty in whose child the foetus will be, is intended by it.
Books on Islam, Muslims, Prophet Muhammad(s), Ahlul Bayt.
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