MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-psr1 Structured version   Visualization version   GIF version

Definition df-psr1 20035
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 20030 . 2 class PwSer1
2 vr . . 3 setvar 𝑟
3 cvv 3440 . . 3 class V
4 c0 4217 . . . 4 class
5 c1o 7953 . . . . 5 class 1o
62cv 1524 . . . . 5 class 𝑟
7 copws 19827 . . . . 5 class ordPwSer
85, 6, 7co 7023 . . . 4 class (1o ordPwSer 𝑟)
94, 8cfv 6232 . . 3 class ((1o ordPwSer 𝑟)‘∅)
102, 3, 9cmpt 5047 . 2 class (𝑟 ∈ V ↦ ((1o ordPwSer 𝑟)‘∅))
111, 10wceq 1525 1 wff PwSer1 = (𝑟 ∈ V ↦ ((1o ordPwSer 𝑟)‘∅))
Colors of variables: wff setvar class
This definition is referenced by:  psr1val  20041
  Copyright terms: Public domain W3C validator