When Actually Pakistan Came Into Being?

The important document regarding the actual date of freedom of Pakistan is the," Indian Independence Act 1947" that was approved by the Britain parliament and was testified by the King of Britain George VI on July 18, 1947. The copy of this law was sent to Qaud e Azam on July 24, 1947 by the secretary General of Pakistan Chaudhary Muhammad Ali (who became the prime minister of Pakistan afterwards).
This act is clearly written in the document volume 12 on page 234, "The Transfer Of Power" published by the government of Britain in 1983 and that can also be seen in the Urdu translation published by Quad e Azam Papers Project Cabinet Division Islamabad in volume 3, page 45-72 which clearly indicates:-
1- From August 15, 1947, two free independent dominions will be established in British India that will named India and Pakistan, respectively.
2- Afterwards, the meaning of "these dominions" will be new dominions and from "appointed day' will be August 15.
The volume 12 page 234 of the transfer of power actually reads as:-
Indian Independent Act 1947:-
1-(1). As from the fifteench day of August, nineteen hundred and forty seven,two independent dominions shall be set up in India, to be known respectively as India and Pakistan.
(2). The said dominions are hereafter in the Act referred to as " the new Dominions", and the said fifteench day of August is hereafter in the Act referred to as "the appointed day"