"Proof using cases" is a method commonly used in mathematics and science to prove a statement or theorem. It involves dividing the problem into separate cases and showing that the statement holds true for each case.
"Proof using cases" is used when a statement or theorem cannot be easily proved using other methods, such as direct proof or proof by contradiction. It is also used when the statement involves multiple conditions or variables.
The idea behind "proof using cases" is to break down a complex problem into simpler cases that can be individually proved. Once each case is proved, the overall statement can be shown to be true by combining the individual cases.
"Proof using cases" allows for a step-by-step approach to proving a statement, making it easier to understand and follow. It also allows for more flexibility in proving complex statements, as different cases can be considered separately.
While "proof using cases" can be a useful method, it is not always applicable to every problem. In some cases, it may not be possible to divide the problem into separate cases, or the number of cases may become too large and difficult to manage. It is important to consider other proof methods as well when attempting to prove a statement.