Description: For sets, being an element of the class of transitive relations is equivalent to satisfying the transitive relation predicate. (Contributed by Peter Mazsa, 22-Aug-2021)
Ref | Expression | ||
---|---|---|---|
Assertion | eltrrelsrel |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elrelsrel | ||
2 | 1 | anbi2d | |
3 | eltrrels2 | ||
4 | dftrrel2 | ||
5 | 2 3 4 | 3bitr4g |