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Definition df-squarenn 36222
Description: Define the set of square positive integers. (Contributed by Stefan O'Rear, 18-Sep-2014.)
Assertion
Ref Expression
df-squarenn NN = {𝑥 ∈ ℕ ∣ (√‘𝑥) ∈ ℚ}

Detailed syntax breakdown of Definition df-squarenn
StepHypRef Expression
1 csquarenn 36217 . 2 class NN
2 vx . . . . . 6 setvar 𝑥
32cv 1473 . . . . 5 class 𝑥
4 csqrt 13763 . . . . 5 class
53, 4cfv 5786 . . . 4 class (√‘𝑥)
6 cq 11616 . . . 4 class
75, 6wcel 1975 . . 3 wff (√‘𝑥) ∈ ℚ
8 cn 10863 . . 3 class
97, 2, 8crab 2895 . 2 class {𝑥 ∈ ℕ ∣ (√‘𝑥) ∈ ℚ}
101, 9wceq 1474 1 wff NN = {𝑥 ∈ ℕ ∣ (√‘𝑥) ∈ ℚ}
Colors of variables: wff setvar class
This definition is referenced by:  pellqrex  36260  rmspecnonsq  36289
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