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All lamps are tools.
If something is not a tool, then it is not a lamp.
Correct
If all lamps are tools, then anything that is not tools cannot be lamps
All bottles are seconds.
At least one second is bottle.
Correct
If all bottles are seconds, then at least one seconds must be a bottle, since there is at least one bottles.
All bottles are professions.
Some professions are not bottles.
Incorrect
If all bottles are professions, it is possible that all professions are bottles, but not necessary. They could be professions that are not bottles, but this is not guaranteed.
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