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Definition df-prm 12759
Description: Define the set of prime numbers. (Contributed by Paul Chapman, 22-Jun-2011.)
Assertion
Ref Expression
df-prm  |-  Prime  =  { p  e.  NN  |  { n  e.  NN  |  n  ||  p }  ~~  2o }
Distinct variable group:    n, p

Detailed syntax breakdown of Definition df-prm
StepHypRef Expression
1 cprime 12758 . 2  class  Prime
2 vn . . . . . . 7  set  n
32cv 1622 . . . . . 6  class  n
4 vp . . . . . . 7  set  p
54cv 1622 . . . . . 6  class  p
6 cdivides 12531 . . . . . 6  class  ||
73, 5, 6wbr 4023 . . . . 5  wff  n  ||  p
8 cn 9746 . . . . 5  class  NN
97, 2, 8crab 2547 . . . 4  class  { n  e.  NN  |  n  ||  p }
10 c2o 6473 . . . 4  class  2o
11 cen 6860 . . . 4  class  ~~
129, 10, 11wbr 4023 . . 3  wff  { n  e.  NN  |  n  ||  p }  ~~  2o
1312, 4, 8crab 2547 . 2  class  { p  e.  NN  |  { n  e.  NN  |  n  ||  p }  ~~  2o }
141, 13wceq 1623 1  wff  Prime  =  { p  e.  NN  |  { n  e.  NN  |  n  ||  p }  ~~  2o }
Colors of variables: wff set class
This definition is referenced by:  isprm  12760
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