Theorem disjrel

Description: Disjoint relation is a relation. (Contributed by Peter Mazsa, 15-Sep-2021)

	Ref	Expression
Assertion	disjrel	$$⊢DisjR\to \mathrm{Rel}R$$

Proof

Step	Hyp	Ref	Expression
1		df-disjALTV	$$⊢DisjR\leftrightarrow \left(CnvRefRel\wr R^{-1}\wedge \mathrm{Rel}R\right)$$
2	1	simprbi	$$⊢DisjR\to \mathrm{Rel}R$$