Theorem eqvrel1cossinidres

Description: The cosets by an intersection with a restricted identity relation are in equivalence relation. (Contributed by Peter Mazsa, 31-Dec-2021)

	Ref	Expression
Assertion	eqvrel1cossinidres	|- EqvRel ,~ ( R i^i ( _I |` A ) )

Proof

Step	Hyp	Ref	Expression
1		disjALTVinidres	|- Disj ( R i^i ( _I |` A ) )
2	1	disjimi	|- EqvRel ,~ ( R i^i ( _I |` A ) )