Theorem eqvrelsymrel

Description: An equivalence relation is symmetric. (Contributed by Peter Mazsa, 29-Dec-2021)

	Ref	Expression
Assertion	eqvrelsymrel	$$⊢EqvRelR\to SymRelR$$

Proof

Step	Hyp	Ref	Expression
1		df-eqvrel	$$⊢EqvRelR\leftrightarrow \left(RefRelR\wedge SymRelR\wedge TrRelR\right)$$
2	1	simp2bi	$$⊢EqvRelR\to SymRelR$$