This question introduces an interesting topic, but to start with it would be to
project two hidden assumptions:
(1) that there is uniform, objective and rmly established theory and practice
of mathematical proof, and
(2) that progress made by mathematicians consists of proving theorems.
Try to be more specific to whatever you do , whichever algorithm you follow , but it is very important to make the examiner understand quickly . You can have numerous ways of doing any question but it is the presentation that actually matters Follow these steps :
1 Highlight the important points
2 Mark statements that are to be used later .
3 Try to be precise and clear