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formal statement (Lean)
665def radical (n : ℕ) : ℕ := n.primeFactors.prod id
proof body
Definition body.
666
667/-- rad(1) = 1. -/
used by (23)
From the project-wide theorem graph. These declarations reference this one in their body.
-
affineShift_mem_LevelSet
in IndisputableMonolith.Cost.Ndim.RadicalDistribution
decl_use
-
dot_affineShift
in IndisputableMonolith.Cost.Ndim.RadicalDistribution
decl_use
-
radical_integrable_by_affine_leaves
in IndisputableMonolith.Cost.Ndim.RadicalDistribution
decl_use
-
sub_mem_Radical
in IndisputableMonolith.Cost.Ndim.RadicalDistribution
decl_use
-
omega_eighthundredforty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_eighthundredforty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_le
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_one'
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_one_eq
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_onehundredtwenty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_pos
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_prime'
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_prime_pow
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_six'
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_sixty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_thirty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_threehundredsixty
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_twelve'
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_two'
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
radical_twohundredten
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use
-
not_squarefree_840
in IndisputableMonolith.NumberTheory.Primes.RSConstants
decl_use
-
radical_360
in IndisputableMonolith.NumberTheory.Primes.RSConstants
decl_use
-
radical_eight
in IndisputableMonolith.NumberTheory.Primes.RSConstants
decl_use
depends on (3)
Lean names referenced from this declaration's body.
-
id
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
-
id
in IndisputableMonolith.Foundation.ArithmeticOf
decl_use
-
id
in IndisputableMonolith.RRF.Core.Octave
decl_use