Definition df-v 2741

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 2739	. 2 class _V
2		vx	. . . 4 setvar x
3	2, 2	weq 1503	. . 3 wff x = x
4	3, 2	cab 2163	. 2 class { x | x = x }
5	1, 4	wceq 1353	1 wff _V = { x | x = x }

This definition is referenced by:  vex  2742  int0  3860  ruv  4551  dcextest  4582  snexxph  6951