Definition df-psr1 22164

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

Assertion

Ref	Expression
df-psr1	⊢ PwSer1 = (𝑟 ∈ V ↦ ((1o ordPwSer 𝑟)‘∅))

Detailed syntax breakdown of Definition df-psr1

Step	Hyp	Ref	Expression
1		cps1 22159	. 2 class PwSer1
2		vr	. . 3 setvar 𝑟
3		cvv 3464	. . 3 class V
4		c0 4324	. . . 4 class ∅
5		c1o 8480	. . . . 5 class 1o
6	2	cv 1533	. . . . 5 class 𝑟
7		copws 21900	. . . . 5 class ordPwSer
8	5, 6, 7	co 7415	. . . 4 class (1o ordPwSer 𝑟)
9	4, 8	cfv 6545	. . 3 class ((1o ordPwSer 𝑟)‘∅)
10	2, 3, 9	cmpt 5228	. 2 class (𝑟 ∈ V ↦ ((1o ordPwSer 𝑟)‘∅))
11	1, 10	wceq 1534	1 wff PwSer1 = (𝑟 ∈ V ↦ ((1o ordPwSer 𝑟)‘∅))

This definition is referenced by:  psr1val  22170