Theorem disjimi

Description: Every disjoint relation generates equivalent cosets by the relation, inference version. (Contributed by Peter Mazsa, 30-Sep-2021)

	Ref	Expression
Hypothesis	disjimi.1	$$⊢DisjR$$
Assertion	disjimi	$$⊢EqvRel\wr R$$

Proof

Step	Hyp	Ref	Expression
1		disjimi.1	$$⊢DisjR$$
2		disjim	$$⊢DisjR\to EqvRel\wr R$$
3	1 2	ax-mp	$$⊢EqvRel\wr R$$