if a=b then c=what is t
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Transitive law, in mathematics and logic, any statement of the form “If aRb and bRc, then aRc,” where “R” is a particular relation (e.g., “…is equal to…”), a, b, c are variables (terms that may be replaced with objects), and the result of replacing a, b, and c with objects is always a true sentence. An example of a transitive law is “If a is equal to b and b is equal to c, then a is equal to c.” There are transitive laws for some relations but not for others. A transitive relation is one that holds between a and c if it also holds between a and b and between b and c for any substitution of objects for a, b, and c. Thus, “…is equal to…” is such a relation, as is “…is greater than…” and “…is less than…”
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