Yes - imperatives are independent. g. " You're right that the two clauses are independent and so a comma between them is wrong.
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JJDouglas"There is no need to worry"—Is this sentence an imperative? Or does it have a subject? Can "There" act as a subject?That is not an imperative. There are arguments for claiming that 'there' is the grammatical subject. Some would claim that the true subject is 'No need (to worry) ', the 'core' sentence being "No need to worry is (= exists).