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Definition df-cht 20879
 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 20873 . 2
2 vx . . 3
3 cr 8989 . . 3
4 cc0 8990 . . . . . 6
52cv 1651 . . . . . 6
6 cicc 10919 . . . . . 6
74, 5, 6co 6081 . . . . 5
8 cprime 13079 . . . . 5
97, 8cin 3319 . . . 4
10 vp . . . . . 6
1110cv 1651 . . . . 5
12 clog 20452 . . . . 5
1311, 12cfv 5454 . . . 4
149, 13, 10csu 12479 . . 3
152, 3, 14cmpt 4266 . 2
161, 15wceq 1652 1
 Colors of variables: wff set class This definition is referenced by:  chtf  20891  chtval  20893
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