Description: The cosets by a restricted identity relation is an equivalence relation. (Contributed by Peter Mazsa, 31-Dec-2021)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | eqvrel1cossidres | ⊢ EqvRel ≀ ( I ↾ 𝐴 ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | disjALTVidres | ⊢ Disj ( I ↾ 𝐴 ) | |
| 2 | 1 | disjimi | ⊢ EqvRel ≀ ( I ↾ 𝐴 ) |