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Definition df-ee 24519
Description: Define the Euclidean space generator. For details, see elee 24522. (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 24516 . 2  class  EE
2 vn . . 3  set  n
3 cn 9746 . . 3  class  NN
4 cr 8736 . . . 4  class  RR
5 c1 8738 . . . . 5  class  1
62cv 1622 . . . . 5  class  n
7 cfz 10782 . . . . 5  class  ...
85, 6, 7co 5858 . . . 4  class  ( 1 ... n )
9 cmap 6772 . . . 4  class  ^m
104, 8, 9co 5858 . . 3  class  ( RR 
^m  ( 1 ... n ) )
112, 3, 10cmpt 4077 . 2  class  ( n  e.  NN  |->  ( RR 
^m  ( 1 ... n ) ) )
121, 11wceq 1623 1  wff  EE  =  ( n  e.  NN  |->  ( RR  ^m  (
1 ... n ) ) )
Colors of variables: wff set class
This definition is referenced by:  elee  24522  eleenn  24524
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