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formal statement (Lean)
99def totient (n : ℕ) : ℕ := Nat.totient n
proof body
Definition body.
100
used by (40)
From the project-wide theorem graph. These declarations reference this one in their body.
-
bigOmega_eq_omega_of_squarefree
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_prime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
sigma_one_five_pow_one
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_apply
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_divisor_sum
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_eight
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_eighthundredforty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_eq_card_filter
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_five
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_five_pow_one
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_five_pow_two
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_fortyeight
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_fortyfive
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_four
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_isMultiplicative
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_le
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_mul_of_coprime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_one
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_onehundredtwenty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_pos
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_pos_iff
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_prime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_prime_pow
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_seventytwo
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_six
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_sixty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_ten
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_thirty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_thirtysix
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
totient_three
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
… and 10 more