👉 Flip math, also known as transfinite induction, is a method of proving mathematical statements about all elements in a well-ordered set, such as the natural numbers, by considering two cases: the base case and the inductive step. In the base case, we prove the statement for the smallest element (often 0 or 1). For the inductive step, we assume the statement is true for some arbitrary element \(n\) and then prove it's also true for \(n+1\). This process effectively "flips" the induction from moving forward to backward, allowing us to cover all elements in the set by starting from the smallest and moving through each step backward, ensuring the statement holds universally.
