Well-founded Definition

wĕlfoundĭd
adjective
Based on facts, good evidence, or sound judgment.
A well-founded suspicion.
Webster's New World

(mathematics) Alternative form of well-founded.

Wiktionary
Wiktionary

(mathematics) A binary relation, R, is well-founded (wellfounded) on a class X if and only if every non-empty subset of X has a minimal element with respect to R.

Wiktionary

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