Definition df-eprel 4765

Description: Define the epsilon relation. Similar to Definition 6.22 of [TakeutiZaring] p. 30. (Contributed by SF, 5-Jan-2015.)

Assertion

Ref	Expression
df-eprel	⊢ E = {⟨x, y⟩ ∣ x ∈ y}

Distinct variable group:   x,y

Detailed syntax breakdown of Definition df-eprel

Step	Hyp	Ref	Expression
1		cep 4763	. 2 class E
2		vx	. . . 4 setvar x
3		vy	. . . 4 setvar y
4	2, 3	wel 1711	. . 3 wff x ∈ y
5	4, 2, 3	copab 4623	. 2 class {⟨x, y⟩ ∣ x ∈ y}
6	1, 5	wceq 1642	1 wff E = {⟨x, y⟩ ∣ x ∈ y}

This definition is referenced by:  epelc  4766