Definition df-vr1 19551

Description: Define the base element of a univariate power series (the X element of the set R [ X ] of polynomials and also the X in the set R [ [ X ] ] of power series). (Contributed by Mario Carneiro, 8-Feb-2015.)

Assertion

Ref	Expression
df-vr1	|- var1 = ( r e. _V |-> ( ( 1o mVar r ) ` (/) ) )

Detailed syntax breakdown of Definition df-vr1

Step	Hyp	Ref	Expression
1		cv1 19546	. 2 class var1
2		vr	. . 3 setvar r
3		cvv 3200	. . 3 class _V
4		c0 3915	. . . 4 class (/)
5		c1o 7553	. . . . 5 class 1o
6	2	cv 1482	. . . . 5 class r
7		cmvr 19352	. . . . 5 class mVar
8	5, 6, 7	co 6650	. . . 4 class ( 1o mVar r )
9	4, 8	cfv 5888	. . 3 class ( ( 1o mVar r ) ` (/) )
10	2, 3, 9	cmpt 4729	. 2 class ( r e. _V |-> ( ( 1o mVar r ) ` (/) ) )
11	1, 10	wceq 1483	1 wff var1 = ( r e. _V |-> ( ( 1o mVar r ) ` (/) ) )

This definition is referenced by:  vr1val  19562