Definition df-made 31930

Description: Define the made by function. This function carries an ordinal to all surreals made by sections of surreals older than it. (Contributed by Scott Fenton, 17-Dec-2021.)

Assertion

Ref	Expression
df-made	|- M = recs ( ( f e. _V |-> ( |s " ( ~P U. ran f X. ~P U. ran f ) ) ) )

Detailed syntax breakdown of Definition df-made

Step	Hyp	Ref	Expression
1		cmade 31925	. 2 class M
2		vf	. . . 4 setvar f
3		cvv 3200	. . . 4 class _V
4		cscut 31898	. . . . 5 class |s
5	2	cv 1482	. . . . . . . . 9 class f
6	5	crn 5115	. . . . . . . 8 class ran f
7	6	cuni 4436	. . . . . . 7 class U. ran f
8	7	cpw 4158	. . . . . 6 class ~P U. ran f
9	8, 8	cxp 5112	. . . . 5 class ( ~P U. ran f X. ~P U. ran f )
10	4, 9	cima 5117	. . . 4 class ( |s " ( ~P U. ran f X. ~P U. ran f ) )
11	2, 3, 10	cmpt 4729	. . 3 class ( f e. _V |-> ( |s " ( ~P U. ran f X. ~P U. ran f ) ) )
12	11	crecs 7467	. 2 class recs ( ( f e. _V |-> ( |s " ( ~P U. ran f X. ~P U. ran f ) ) ) )
13	1, 12	wceq 1483	1 wff M = recs ( ( f e. _V |-> ( |s " ( ~P U. ran f X. ~P U. ran f ) ) ) )

This definition is referenced by:  madeval  31935