Definition df-v 2862

Description: Define the universal class. Definition 5.20 of [TakeutiZaring] p. 21. Also Definition 2.9 of [Quine] p. 19. (Contributed by NM, 5-Aug-1993.)

Assertion

Ref	Expression
df-v	⊢ V = {x ∣ x = x}

Detailed syntax breakdown of Definition df-v

Step	Hyp	Ref	Expression
1		cvv 2860	. 2 class V
2		vx	. . . 4 setvar x
3	2, 2	weq 1643	. . 3 wff x = x
4	3, 2	cab 2339	. 2 class {x ∣ x = x}
5	1, 4	wceq 1642	1 wff V = {x ∣ x = x}

This definition is referenced by:  vex  2863  int0  3941