Definition df-pg 42453

Description: Define the class of partizan games. More precisely, this is the class of partizan game forms, many of which represent equal partisan games. In metamath, equality between partizan games is represented by a different equivalence relation than class equality. (Contributed by Emmett Weisz, 22-Aug-2021.)

Assertion

Ref	Expression
df-pg	|- Pg = setrecs ( ( x e. _V |-> ( ~P x X. ~P x ) ) )

Detailed syntax breakdown of Definition df-pg

Step	Hyp	Ref	Expression
1		cpg 42452	. 2 class Pg
2		vx	. . . 4 setvar x
3		cvv 3200	. . . 4 class _V
4	2	cv 1482	. . . . . 6 class x
5	4	cpw 4158	. . . . 5 class ~P x
6	5, 5	cxp 5112	. . . 4 class ( ~P x X. ~P x )
7	2, 3, 6	cmpt 4729	. . 3 class ( x e. _V |-> ( ~P x X. ~P x ) )
8	7	csetrecs 42430	. 2 class setrecs ( ( x e. _V |-> ( ~P x X. ~P x ) ) )
9	1, 8	wceq 1483	1 wff Pg = setrecs ( ( x e. _V |-> ( ~P x X. ~P x ) ) )

This definition is referenced by:  elpg  42457