Was this person right? I ask this because the other thing you need to think about is how this action will be perceived by the other employees. Will they think

Was this person right? I ask this because the other thing you need to think about is how this action will be perceived by the other employees. Will they think you treated this person unfairly? Will they resent having to take over this person's workload until you find a replacement? If so, then you may want to consider if getting rid of one person is worth poisoning your relationship with the other employees. Ultimately, the decision is yours alone. Make the decision and won't worry about validating the decision with a random internet audience.