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

Definition df-psr1 16273
Description: Define the algebra of univariate power series. (Contributed by Mario Carneiro, 29-Dec-2014.)
Assertion
Ref Expression
df-psr1  |- PwSer1  =  ( r  e.  _V  |->  ( ( 1o ordPwSer  r ) `  (/) ) )

Detailed syntax breakdown of Definition df-psr1
StepHypRef Expression
1 cps1 16266 . 2  class PwSer1
2 vr . . 3  set  r
3 cvv 2801 . . 3  class  _V
4 c0 3468 . . . 4  class  (/)
5 c1o 6488 . . . . 5  class  1o
62cv 1631 . . . . 5  class  r
7 copws 16111 . . . . 5  class ordPwSer
85, 6, 7co 5874 . . . 4  class  ( 1o ordPwSer  r )
94, 8cfv 5271 . . 3  class  ( ( 1o ordPwSer  r ) `  (/) )
102, 3, 9cmpt 4093 . 2  class  ( r  e.  _V  |->  ( ( 1o ordPwSer  r ) `  (/) ) )
111, 10wceq 1632 1  wff PwSer1  =  ( r  e.  _V  |->  ( ( 1o ordPwSer  r ) `  (/) ) )
Colors of variables: wff set class
This definition is referenced by:  psr1val  16281
  Copyright terms: Public domain W3C validator