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	$$⊢EqvRel\wr \left({\mathrm{I}\upharpoonright }_A\right)$$

Proof

Step	Hyp	Ref	Expression
1		disjALTVidres	$$⊢Disj\left({\mathrm{I}\upharpoonright }_A\right)$$
2	1	disjimi	$$⊢EqvRel\wr \left({\mathrm{I}\upharpoonright }_A\right)$$