Is it a logically flawed argument to state that we have to follow the models of the Ahlulbayt even though they were infallible? How can we as fallible beings even aspire to emulate infallible ones?

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1- The Prophet (s) is infallible and we are instructed to follow him. The Qur’an is infallible and we are instructed to follow it. When you have an infallible standard, you are safe. You can rely on it. You can trust it 100%. Yes, we cannot be like them, but they show us how to worship Allah and do good. We can learn from their example even if we are fallible and they are infallible. Infallibility has degrees, and we can try to increase our level as best as we can.