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Definition df-squarenn 30942
Description: Define the set of square positive integers. (Contributed by Stefan O'Rear, 18-Sep-2014.)
Assertion
Ref Expression
df-squarenn  |-NN  =  { x  e.  NN  |  ( sqr `  x )  e.  QQ }

Detailed syntax breakdown of Definition df-squarenn
StepHypRef Expression
1 csquarenn 30937 . 2  classNN
2 vx . . . . . 6  setvar  x
32cv 1398 . . . . 5  class  x
4 csqrt 13068 . . . . 5  class  sqr
53, 4cfv 5496 . . . 4  class  ( sqr `  x )
6 cq 11101 . . . 4  class  QQ
75, 6wcel 1826 . . 3  wff  ( sqr `  x )  e.  QQ
8 cn 10452 . . 3  class  NN
97, 2, 8crab 2736 . 2  class  { x  e.  NN  |  ( sqr `  x )  e.  QQ }
101, 9wceq 1399 1  wffNN  =  { x  e.  NN  |  ( sqr `  x )  e.  QQ }
Colors of variables: wff setvar class
This definition is referenced by:  pellqrex  30980  rmspecnonsq  31008
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