Definition df-psr1 18773

Description: Define the algebra of univariate power series. (Contributed by Mario Carneiro, 29-Dec-2014.)

Assertion

Ref	Expression
df-psr1	|- PwSer1 = ( r e. _V |-> ( ( 1o ordPwSer r ) ` (/) ) )

Detailed syntax breakdown of Definition df-psr1

Step	Hyp	Ref	Expression
1		cps1 18768	. 2 class PwSer1
2		vr	. . 3 setvar r
3		cvv 3045	. . 3 class _V
4		c0 3731	. . . 4 class (/)
5		c1o 7175	. . . . 5 class 1o
6	2	cv 1443	. . . . 5 class r
7		copws 18579	. . . . 5 class ordPwSer
8	5, 6, 7	co 6290	. . . 4 class ( 1o ordPwSer r )
9	4, 8	cfv 5582	. . 3 class ( ( 1o ordPwSer r ) ` (/) )
10	2, 3, 9	cmpt 4461	. 2 class ( r e. _V |-> ( ( 1o ordPwSer r ) ` (/) ) )
11	1, 10	wceq 1444	1 wff PwSer1 = ( r e. _V |-> ( ( 1o ordPwSer r ) ` (/) ) )

This definition is referenced by:  psr1val  18779