well-founded

well-founded (comparative more well-founded, superlative most well-founded)

1. Based on reasoning, evidence and good judgement.

   Antonym: ill-founded

2. Properly substantiated.

   Antonym: ill-founded

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

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

3. (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.

• founded

• well-founded relation (mathematics)