Description: The cosets by a range Cartesian product with a restricted identity relation are in equivalence relation. (Contributed by Peter Mazsa, 31-Dec-2021)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | eqvrel1cossxrnidres | |- EqvRel ,~ ( R |X. ( _I |` A ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | disjALTVxrnidres | |- Disj ( R |X. ( _I |` A ) ) |
|
| 2 | 1 | disjimi | |- EqvRel ,~ ( R |X. ( _I |` A ) ) |