Is this kind of mistake I made in my bachelor thesis a serious thing?

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A couple of days ago I handed in my bachelor thesis. Unfortunately I found a mistake in two of my definitions. This definitions were recursive ones so I forgot to write $n\in\mathbb{N}\setminus\{1\}$ instead of $n\in\mathbb{N}$. The definitions don't make sense for $n=1$. Would this be a big thing for my professor ? I just can't understand why some mistakes kind of seem impossible to find until you hand in your bachelor thesis... it drives me crazy.

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Don't worry about it. Your thoughts and ideas are the substance of your thesis. Spelling, grammar, and off-by-one errors are unavoidable side-effects of recording your thoughts and ideas in writing. We only try to minimize those side-effects as courtesy to readers anyways, and we (or editors or reviewers) help stamp those errors out if/when the writing gets published.