The imam did the prostration of recitation and the person praying behind him did not realize, so he bowed

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Check below answers in case you are looking for other related questions:
Distraction during salaat (prayer) by shaitan
Should a latecomer count an extra rak’ah done with the imam?

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Related Answers:
When should the prostration of forgetfulness be done, and what should be said in it?
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Imam errs during prayer and does not know what is the mistake
Distraction during salaat (prayer) by shaitan
Should a latecomer count an extra rak’ah done with the imam?

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