From Wikipedia: "The C1 theorem was published in 1954, the Ck-theorem in 1956."
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No, theorems cannot be accepted until proven.
Yes, theorems - once they have been proved - are valid evidence.
The plural is theorems.
postulate theorems tell that the lines are parallel, but the converse if asking you to find if the lines are parallel.
Yes, they can. This is done all the time in mathematics, logic and other areas. However, you must ensure that you either record the theorems used, or write them out in whole and attach them to the proof of the new theorem.