Definition df-eprel 2910

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

Assertion

Ref	Expression
df-eprel	|- E = {<.x, y>. | x e. y}

Distinct variable group:   x,y

Detailed syntax breakdown of Definition df-eprel

Step	Hyp	Ref	Expression
1		cep 2908	. 2 class E
2		vx	. . . . 5 set x
3	2	cv 991	. . . 4 class x
4		vy	. . . . 5 set y
5	4	cv 991	. . . 4 class y
6	3, 5	wcel 994	. . 3 wff x e. y
7	6, 2, 4	copab 2740	. 2 class {<.x, y>. | x e. y}
8	1, 7	wceq 992	1 wff E = {<.x, y>. | x e. y}

This definition is referenced by:  epelc 2911  rele 3359

Copyright terms: Public domain