Definition df-eprel 2122

Description: Define the epsilon relation. Similar to Definition 6.22 of [TakeutiZaring] p. 30.

Assertion

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

Distinct variable group(s):   x,y

Detailed syntax breakdown of Definition df-eprel

Step	Hyp	Ref	Expression
1		cep 2056	. 2 class E
2		vx	. . . 4 set x
3		vy	. . . 4 set y
4	2, 3	wel 803	. . 3 wff x ∈ y
5	4, 2, 3	copab 2055	. 2 class {⟨x, y⟩∣x ∈ y}
6	1, 5	wceq 1091	1 wff E = {⟨x, y⟩∣x ∈ y}

This definition is referenced by:  epelc 2123  rele 2501

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