Description: The class of range Cartesian product with restricted identity relation is disjoint. (Contributed by Peter Mazsa, 25-Jun-2020) (Revised by Peter Mazsa, 27-Sep-2021)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | disjALTVxrnidres | |- Disj ( R |X. ( _I |` A ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | disjALTVid | |- Disj _I |
|
| 2 | disjimxrnres | |- ( Disj _I -> Disj ( R |X. ( _I |` A ) ) ) |
|
| 3 | 1 2 | ax-mp | |- Disj ( R |X. ( _I |` A ) ) |