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 ) |