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formal statement (Lean)
119theorem totient_mul_of_coprime {m n : ℕ} (h : Nat.Coprime m n) :
120 totient (m * n) = totient m * totient n := by
proof body
Term-mode proof.
121 simp [totient, Nat.totient_mul h]
122
123/-- The sum of φ(d) over divisors of n equals n: ∑_{d|n} φ(d) = n. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (6)
Lean names referenced from this declaration's body.
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in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
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in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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in IndisputableMonolith.Foundation.PhiForcingDerived
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in IndisputableMonolith.Foundation.SpectralEmergence
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
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totient
in IndisputableMonolith.NumberTheory.Primes.ArithmeticFunctions
decl_use