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formal statement (Lean)
33theorem factorization_pow (n k : ℕ) : (n ^ k).factorization = k • n.factorization := by
proof body
Term-mode proof.
34 exact Nat.factorization_pow n k
35
36/-- For `a,b ≠ 0`, the `vp` exponent is additive under multiplication. -/
used by (5)
From the project-wide theorem graph. These declarations reference this one in their body.
-
twistedCostSpectrumValue_pow
in IndisputableMonolith.NumberTheory.CostTwistedLSeries
decl_use
-
costSpectrumValue_pow
in IndisputableMonolith.NumberTheory.PrimeCostSpectrum
decl_use
-
vp_pow
in IndisputableMonolith.NumberTheory.Primes.Factorization
decl_use
-
vp_prime_pow
in IndisputableMonolith.NumberTheory.Primes.Factorization
decl_use
-
vp_prime_pow_ne
in IndisputableMonolith.NumberTheory.Primes.Factorization
decl_use
depends on (5)
Lean names referenced from this declaration's body.
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
vp
in IndisputableMonolith.NumberTheory.Primes.Factorization
decl_use