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Falsehood is to deceive as evidence is to prove. Prove is a word that is commonlyÊ used in law courts.
The adverb for "falsehood" is "falsely."
The abstract noun form for the adjective false is falseness.
A related abstract noun form is falsehood.
The adjective for falsehood is "false".
The statement that the world is flat is a falsehood. You should not tell a falsehood, especially not to your teacher.