Description: The cosets by the null class are in equivalence relation if and only if the null class is disjoint (which it is, see disjALTV0 ). (Contributed by Peter Mazsa, 31-Dec-2021)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | det0 | |- ( Disj (/) <-> EqvRel ,~ (/) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | disjALTV0 | |- Disj (/) |
|
| 2 | 1 | detlem | |- ( Disj (/) <-> EqvRel ,~ (/) ) |