MATH.18:6 - Bias-Annotation
Familiar terminology can encourage an equivalence claim before the allowed operations and quantifiers have been compared. Follow one consequential construction through both accounts, then enlarge the claim only as far as its arguments support.
The categorical branch is useful when objects and maps are already the subject of comparison. Algebraic definitions, order relations and explicit logical translations can provide more direct constructions for other questions. Select the form that makes the required transfer inspectable.