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paec is not a standard mathematical acronym.
A theorem is proven. An example is The "Pythagoras Theorem" that proved that for a right angled triangle a2 + b2 = c2
An example is Pythagoras's Theorem: that the sum of the squares of the two shorter side lengths of a triangle with a right-angle is equal to the square of the length of the side opposite the right angle.
It depends on what x is and what information you have. For example, if no side lengths are known, the Pythagorean theorem is not going to be any use!
Norton's theorem is the current equivalent of Thevenin's theorem.