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Definition df-cht 23098
 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 23092 . 2
2 vx . . 3
3 cr 9487 . . 3
4 cc0 9488 . . . . . 6
52cv 1378 . . . . . 6
6 cicc 11528 . . . . . 6
74, 5, 6co 6282 . . . . 5
8 cprime 14072 . . . . 5
97, 8cin 3475 . . . 4
10 vp . . . . . 6
1110cv 1378 . . . . 5
12 clog 22670 . . . . 5
1311, 12cfv 5586 . . . 4
149, 13, 10csu 13467 . . 3
152, 3, 14cmpt 4505 . 2
161, 15wceq 1379 1
 Colors of variables: wff setvar class This definition is referenced by:  chtf  23110  chtval  23112
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