well-founded

comparative more well-founded · superlative most well-founded

1. Based on reasoning, evidence and good judgement.

   Synonyms: well-grounded, on solid ground, legitimate · Antonyms: ill-founded, ill-grounded, groundless, baseless, flimsy, unjustified

2. Properly substantiated.

   After the crisis had passed, certain well-founded proposals were revived, and resulted in important additions to the railway network of the country.

   1946 September and October, “Speculation Run Riot”, in Railway Magazine, page 269

   Synonyms: well-grounded · Antonyms: ill-founded, ill-grounded, groundless, baseless, flimsy, unjustified

3. mathematicsOf a binary relation: such that every non-empty subset of the relation's domain has a minimal element with respect to the relation.

   well-founded relation