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Definition df-chp 22177
Description: Define the second Chebyshev function, which adds up the logarithms of the primes corresponding to the prime powers less than . (Contributed by Mario Carneiro, 7-Apr-2016.)
Assertion
Ref Expression
df-chp
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-chp
StepHypRef Expression
1 cchp 22171 . 2
2 vx . . 3
3 cr 9227 . . 3
4 c1 9229 . . . . 5
52cv 1686 . . . . . 6
6 cfl 11581 . . . . . 6
75, 6cfv 5390 . . . . 5
8 cfz 11381 . . . . 5
94, 7, 8co 6061 . . . 4
10 vn . . . . . 6
1110cv 1686 . . . . 5
12 cvma 22170 . . . . 5
1311, 12cfv 5390 . . . 4
149, 13, 10csu 13104 . . 3
152, 3, 14cmpt 4325 . 2
161, 15wceq 1687 1
Colors of variables: wff setvar class
This definition is referenced by:  chpval  22201  chpf  22202
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