A: Louisa is still in Palma, so you can't have seen her at the library.
B: Louisa is still in Palma, so you couldn't have seen her at the library.
C: Louisa is still in Palma, so you mustn't have seen her at the library.
The example with "mustn't" isn't as positive as the others. " in it.
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The example with "mustn't" isn't as positive as the others. There is an implication of "How could that be?" in it.