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Definition df-ee 24767
Description: Define the Euclidean space generator. For details, see elee 24770. (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 24764 . 2  class  EE
2 vn . . 3  setvar  n
3 cn 10609 . . 3  class  NN
4 cr 9537 . . . 4  class  RR
5 c1 9539 . . . . 5  class  1
62cv 1436 . . . . 5  class  n
7 cfz 11782 . . . . 5  class  ...
85, 6, 7co 6305 . . . 4  class  ( 1 ... n )
9 cmap 7480 . . . 4  class  ^m
104, 8, 9co 6305 . . 3  class  ( RR 
^m  ( 1 ... n ) )
112, 3, 10cmpt 4484 . 2  class  ( n  e.  NN  |->  ( RR 
^m  ( 1 ... n ) ) )
121, 11wceq 1437 1  wff  EE  =  ( n  e.  NN  |->  ( RR  ^m  (
1 ... n ) ) )
Colors of variables: wff setvar class
This definition is referenced by:  elee  24770  eleenn  24772
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