〜てはいけない
must not
Verb て-form + はいけない / はいけません
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て-form + はいけない states a prohibition: ここでたばこを吸ってはいけません, "you mustn't smoke here". Literally "if you do it, it won't do".
It sounds like a rule, so it's what teachers, parents and signs say. For a request, ないでください is softer, and for yourself, it's more natural to say what you have to do.
In speech ては becomes ちゃ and では becomes じゃ: 寝ちゃいけない, 飲んじゃだめ. だめ is a casual swap for いけない.
The は here is the particle, so it's pronounced wa, even inside this long ending.
Register: Casual speech shortens ては to ちゃ (and では to じゃ): 寝ちゃいけない.
Examples
ここでたばこを吸ってはいけません。
You mustn't smoke here.
授業中に寝てはいけない。
You mustn't sleep in class.
お酒を飲んで車を運転してはいけません。
You mustn't drive after drinking.
このボタンを押してはいけません。
You mustn't press this button.
図書館で大きい声で話してはいけません。
You mustn't talk loudly in the library.