Theorem det0

Description: The cosets by the null class are in equivalence relation if and only if the null class is disjoint (which it is, see disjALTV0 ). (Contributed by Peter Mazsa, 31-Dec-2021)

	Ref	Expression
Assertion	det0	$$⊢Disj\varnothing \leftrightarrow EqvRel\wr \varnothing$$

Proof

Step	Hyp	Ref	Expression
1		disjALTV0	$$⊢Disj\varnothing$$
2	1	detlem	$$⊢Disj\varnothing \leftrightarrow EqvRel\wr \varnothing$$