What does well-founded mean?

Looking for the meaning or definition of the word well-founded? Here's what it means.

Adjective based on reasoning, evidence and good judgement properly substantiated (mathematics) Of a binary relation: such that every non-empty subset of the relation's domain has a minimal element with respect to the relation. Find more words! 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To what extent was it based on estimates, guesses and interpretations, however well-founded? It seems as if everyone is so concerned with reputation and wealth and well-founded gentlemen. There was no proof at all, nothing to link him to the crime except some well-founded suspicion. The doctor in charge of the case duly informed the social worker and the police of her well-founded suspicions. There are very real and probably well-founded reasons for not being so easily moved. See Also What is another word for well-founded? What is the opposite of well-founded? Sentences with the word well-founded Words that rhyme with well-founded Nearby Definitions wellfounded well-found well found wellfound well-formedness rules well-formedness well-foundedness wellful wellfuls well-groomed well-grounded well-handed