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 )