Definition df-id 4768

Description: Define the identity relation. Definition 9.15 of [Quine] p. 64. (Contributed by SF, 5-Jan-2015.)

Assertion

Ref	Expression
df-id	⊢ I = {⟨x, y⟩ ∣ x = y}

Distinct variable group:   x,y

Detailed syntax breakdown of Definition df-id

Step	Hyp	Ref	Expression
1		cid 4764	. 2 class I
2		vx	. . . 4 setvar x
3		vy	. . . 4 setvar y
4	2, 3	weq 1643	. . 3 wff x = y
5	4, 2, 3	copab 4623	. 2 class {⟨x, y⟩ ∣ x = y}
6	1, 5	wceq 1642	1 wff I = {⟨x, y⟩ ∣ x = y}

This definition is referenced by:  dfid3  4769  ideqg  4869  ideqg2  4870  cnvi  5033