Your function will take as input a Boolean variable B (i.e. a variable whose value is either True or False). Your function will begin by creating a dictionary called "true_list" and setting "true_list[0]" to the value of B. Then, for 20 iterations, your function will run the conditional statement: "If true_list[n] is True, then set true_list[n + 1] to be True." Finally, your output will be the "true_list".
After setting up your code, run your program with B = True and then with B = False. It is possible that one of these will produce an error message. If an error occurs, please explain why. Additionally, in a comment, explain how this function and its outputs relate to proof by induction.
Please ensure that the entire text is properly formatted and presented in a clear, coherent manner. Correct any spelling, typographical, grammatical, OCR (optical character recognition), and mathematical errors, including any errors related to the square root symbol.