Definition df-psr1 19777

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 19772	. 2 class PwSer1
2		vr	. . 3 setvar 𝑟
3		cvv 3402	. . 3 class V
4		c0 4127	. . . 4 class ∅
5		c1o 7798	. . . . 5 class 1𝑜
6	2	cv 1636	. . . . 5 class 𝑟
7		copws 19583	. . . . 5 class ordPwSer
8	5, 6, 7	co 6883	. . . 4 class (1𝑜 ordPwSer 𝑟)
9	4, 8	cfv 6110	. . 3 class ((1𝑜 ordPwSer 𝑟)‘∅)
10	2, 3, 9	cmpt 4934	. 2 class (𝑟 ∈ V ↦ ((1𝑜 ordPwSer 𝑟)‘∅))
11	1, 10	wceq 1637	1 wff PwSer1 = (𝑟 ∈ V ↦ ((1𝑜 ordPwSer 𝑟)‘∅))

This definition is referenced by:  psr1val  19783