Need help understanding
My understanding is that for , there can only be one x value that is true for every single y value. Meaning theres only one x value (which cannot be changed) for every single different y value. The statement is true when there is one x value (lets say ) that is true for ,... (for every single y). Correct me if I am wrong but this is my understanding of this notation.
And now my understanding for the second notation is that for every x value, there exists a y such that p(x,y). Meaning for every x value () there can be a different y value for each x value so that the statement is true.
I dont really know how to explain this well but I'll try to summarize my understanding. If the notation is then theres only one x that cannot be changed that is true for every y. If the notation is then the y value doesnt have to be the same y value for every x value. Meaning for every x value there can be a y value that is different than another y value for another x value.