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Definition df-squarenn 27029
Description: Define the set of square natural numbers. (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 27024 . 2  classNN
2 vx . . . . . 6  set  x
32cv 1631 . . . . 5  class  x
4 csqr 11734 . . . . 5  class  sqr
53, 4cfv 5271 . . . 4  class  ( sqr `  x )
6 cq 10332 . . . 4  class  QQ
75, 6wcel 1696 . . 3  wff  ( sqr `  x )  e.  QQ
8 cn 9762 . . 3  class  NN
97, 2, 8crab 2560 . 2  class  { x  e.  NN  |  ( sqr `  x )  e.  QQ }
101, 9wceq 1632 1  wffNN  =  { x  e.  NN  |  ( sqr `  x )  e.  QQ }
Colors of variables: wff set class
This definition is referenced by:  pellqrex  27067  rmspecnonsq  27095
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