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Definition df-ee 23863
Description: Define the Euclidean space generator. For details, see elee 23866. (Contributed by Scott Fenton, 3-Jun-2013.)
Assertion
Ref Expression
df-ee  |-  EE  =  ( n  e.  NN  |->  ( RR  ^m  (
1 ... n ) ) )

Detailed syntax breakdown of Definition df-ee
StepHypRef Expression
1 cee 23860 . 2  class  EE
2 vn . . 3  setvar  n
3 cn 10525 . . 3  class  NN
4 cr 9480 . . . 4  class  RR
5 c1 9482 . . . . 5  class  1
62cv 1373 . . . . 5  class  n
7 cfz 11661 . . . . 5  class  ...
85, 6, 7co 6275 . . . 4  class  ( 1 ... n )
9 cmap 7410 . . . 4  class  ^m
104, 8, 9co 6275 . . 3  class  ( RR 
^m  ( 1 ... n ) )
112, 3, 10cmpt 4498 . 2  class  ( n  e.  NN  |->  ( RR 
^m  ( 1 ... n ) ) )
121, 11wceq 1374 1  wff  EE  =  ( n  e.  NN  |->  ( RR  ^m  (
1 ... n ) ) )
Colors of variables: wff setvar class
This definition is referenced by:  elee  23866  eleenn  23868
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