Description: The relation induced by a transitive relation on a part of its field is transitive. (Taking the intersection of a relation with a Cartesian square is a way to restrict it to a subset of its field.) (Contributed by FL, 31-Jul-2009)
Ref | Expression | ||
---|---|---|---|
Assertion | trinxp | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xpidtr | |
|
2 | trin2 | |
|
3 | 1 2 | mpan2 | |