must have
We use must have when we are almost sure that something happened or was true.
The opposite of must have is can't have NOT mustn't have.
might / may / could + have
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can't have / couldn't have
We use can't have and couldn't have when we are almost sure something didn't happen or that it is impossible.
We only use couldn't have when the speculation is about the distant past, e.g.
They couldn't have been married. They both died young.
I'm certain I left my umbrella at home.
I must have left my umbrella at home.
I'm certain I left my umbrella at home.
I must have left my umbrella at home.
We couldn't understand anybody in Paris.
You should have learned some French before going.
We couldn't understand anybody in Paris.
You should have learned some French before going.
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