Theorem elrelsrelim

Description: The element of the relations class is a relation. (Contributed by Peter Mazsa, 20-Jul-2019)

	Ref	Expression
Assertion	elrelsrelim	$$⊢R\in \mathrm{Rels}\to \mathrm{Rel}R$$

Proof

Step	Hyp	Ref	Expression
1		elrelsrel	$$⊢R\in \mathrm{Rels}\to \left(R\in \mathrm{Rels}\leftrightarrow \mathrm{Rel}R\right)$$
2	1	ibi	$$⊢R\in \mathrm{Rels}\to \mathrm{Rel}R$$