Definition df-new 31932

Description: Define the newer than function. This function carries an ordinal to all surreals made on that day. (Contributed by Scott Fenton, 17-Dec-2021.)

Assertion

Ref	Expression
df-new	|- N = ( x e. On |-> ( ( O ` x ) \ ( M ` x ) ) )

Detailed syntax breakdown of Definition df-new

Step	Hyp	Ref	Expression
1		cnew 31927	. 2 class N
2		vx	. . 3 setvar x
3		con0 5723	. . 3 class On
4	2	cv 1482	. . . . 5 class x
5		cold 31926	. . . . 5 class O
6	4, 5	cfv 5888	. . . 4 class ( O ` x )
7		cmade 31925	. . . . 5 class M
8	4, 7	cfv 5888	. . . 4 class ( M ` x )
9	6, 8	cdif 3571	. . 3 class ( ( O ` x ) \ ( M ` x ) )
10	2, 3, 9	cmpt 4729	. 2 class ( x e. On |-> ( ( O ` x ) \ ( M ` x ) ) )
11	1, 10	wceq 1483	1 wff N = ( x e. On |-> ( ( O ` x ) \ ( M ` x ) ) )

This definition is referenced by: (None)