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Definition df-cht 20334
 Description: Define the first Chebyshev function, which adds up the logarithms of all primes less than . The symbol used to represent this function is sometimes the variant greek letter theta shown here and sometimes the greek letter psi, ψ; however, this notation can also refer to the second Chebyshev function, which adds up the logarithms of prime powers instead. See https://en.wikipedia.org/wiki/Chebyshev_function for a discussion of the two functions. (Contributed by Mario Carneiro, 15-Sep-2014.)
Assertion
Ref Expression
df-cht
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-cht
StepHypRef Expression
1 ccht 20328 . 2
2 vx . . 3
3 cr 8736 . . 3
4 cc0 8737 . . . . . 6
52cv 1622 . . . . . 6
6 cicc 10659 . . . . . 6
74, 5, 6co 5858 . . . . 5
8 cprime 12758 . . . . 5
97, 8cin 3151 . . . 4
10 vp . . . . . 6
1110cv 1622 . . . . 5
12 clog 19912 . . . . 5
1311, 12cfv 5255 . . . 4
149, 13, 10csu 12158 . . 3
152, 3, 14cmpt 4077 . 2
161, 15wceq 1623 1
 Colors of variables: wff set class This definition is referenced by:  chtf  20346  chtval  20348
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