By induction, your first line says that writing ten thousand lines of code that work individually is easy. I accept that getting them to work together is the hard part.
Induction doesn't actually hold like that when you start applying things that require finite resources, such as time. Is it easy for me to find a dollar? Sure, I could get it any number of ways. It's slightly more difficult for me to $10,000. Now apply "induction" to amounts > $100,000,000.