Transitive
Property of Equality
The following property: If a = b and b = c,
then a = c. One of the equivalence
properties of equality.
Note: This is a property of equality and inequalities.
One must be cautious, however, when attempting to develop arguments
using the transitive property in
other settings.
Here is an example of an unsound application
of the transitive property: "Team A defeated team B, and
team B defeated team C. Therefore, team A will defeat team C."
See
also
Reflexive
property of equality, symmetric
property of equality,
transitive property
of inequalities, inequality
rules
