1 a false statement made with deliberate intent to deceive; an intentional untruth.
Your example also doesn’t support your definition. It implies the history books were written inaccurately on purpose (As we know historically they are) and the teacher refuses to teach it because then they would be deceiving the children intentionally otherwise, which would of course be lying.
Actually no, “to lie” means to say something intentionally false. One cannot “accidentally lie”
https://www.dictionary.com/browse/lie
https://www.dictionary.com/browse/lie
Your example also doesn’t support your definition. It implies the history books were written inaccurately on purpose (As we know historically they are) and the teacher refuses to teach it because then they would be deceiving the children intentionally otherwise, which would of course be lying.
ALL the examples apply.
So you can’t disprove an example using another example.
And none of them support your use of the word.