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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
StepHypRef 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
62cv 1636 . . . . 5 class 𝑟
7 copws 19583 . . . . 5 class ordPwSer
85, 6, 7co 6883 . . . 4 class (1𝑜 ordPwSer 𝑟)
94, 8cfv 6110 . . 3 class ((1𝑜 ordPwSer 𝑟)‘∅)
102, 3, 9cmpt 4934 . 2 class (𝑟 ∈ V ↦ ((1𝑜 ordPwSer 𝑟)‘∅))
111, 10wceq 1637 1 wff PwSer1 = (𝑟 ∈ V ↦ ((1𝑜 ordPwSer 𝑟)‘∅))
Colors of variables: wff setvar class
This definition is referenced by:  psr1val  19783
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