Theorem eqvrel0

Description: The null class is an equivalence relation. (Contributed by Peter Mazsa, 31-Dec-2021)

	Ref	Expression
Assertion	eqvrel0	$$⊢EqvRel\varnothing$$

Proof

Step	Hyp	Ref	Expression
1		disjALTV0	$$⊢Disj\varnothing$$
2	1	disjimi	$$⊢EqvRel\wr \varnothing$$
3		coss0	$$⊢\wr \varnothing =\varnothing$$
4	3	eqvreleqi	$$⊢EqvRel\wr \varnothing \leftrightarrow EqvRel\varnothing$$
5	2 4	mpbi	$$⊢EqvRel\varnothing$$