Theorem idsymrel

Description: The identity relation is symmetric. (Contributed by AV, 19-Jun-2022)

	Ref	Expression
Assertion	idsymrel	⊢ SymRel I

Proof

Step	Hyp	Ref	Expression
1		cnvi	⊢ ◡ I = I
2		reli	⊢ Rel I
3		dfsymrel4	⊢ ( SymRel I ↔ ( ◡ I = I ∧ Rel I ) )
4	1 2 3	mpbir2an	⊢ SymRel I