I am struggling with the concept of vacuously true base cases in weak induction.
Question - I would appreciate if readers provides simple examples of induction which use a vacuously true base case.
My hope is that simple examples will help me focus on understanding why vacuously true base cases are sufficient. The example I'm working with now is more complex and distracts from the core misunderstanding (Tao Analysis I ex 2.2.5).