Metamath Proof Explorer


Theorem eqvrel1cossidres

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 )

Proof

Step Hyp Ref Expression
1 disjALTVidres Disj ( I ↾ 𝐴 )
2 1 disjimi EqvRel ≀ ( I ↾ 𝐴 )