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formal statement (Lean)
73abbrev bigOmega : ArithmeticFunction ℕ := ArithmeticFunction.cardFactors
proof body
Definition body.
74
used by (32)
From the project-wide theorem graph. These declarations reference this one in their body.
-
bigOmega_apply
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_def
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_eight
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_eighthundredforty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_eq_omega_of_squarefree
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_factorial_five
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_factorial_four
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_factorial_three
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_factorial_two
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_fortyfive
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_mul
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_one
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_onehundredtwenty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_pow
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_prime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_prime_pow
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_six
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_thirty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_threehundredsixty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_twelve
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_twohundredten
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
bigOmega_twothousandthreehundredten
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
isFiveAlmostPrime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
isFourAlmostPrime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
isSemiprime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
isSixAlmostPrime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
isThreeAlmostPrime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
liouville
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
liouville_eq
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
liouville_prime
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
… and 2 more