recognition /
NumberTheory /
NumberTheory.RecognitionTheta /
explainer
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formal statement (Lean)
62 def phiRungPrime (p : ℕ) : ℤ :=
proof body
Definition body.
63 Int.floor (Real.log (p : ℝ) / Real.log phi)
64
65 /-- The phi-rung extended completely additively to all positive integers.
66
67 For `n ≥ 1`, this is `Σ_p v_p(n) · phiRungPrime(p)`, where `v_p`
68 is the `p`-adic valuation. -/
used by (5)
From the project-wide theorem graph. These declarations reference this one in their body.
phiRung
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
phiRung_mul
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
phiRung_prime
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
phiRung_prime_pow
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
phiRung_zero
in IndisputableMonolith.NumberTheory.RecognitionTheta
decl_use
depends on (13)
Lean names referenced from this declaration's body.
all
in IndisputableMonolith.Aesthetics.NarrativeGeodesic
decl_use
all
in IndisputableMonolith.Anthropology.KinshipGraphCohomology
decl_use
rung
in IndisputableMonolith.Compat.Constants
decl_use
all
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
rung
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
rung
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
rung
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
all
in IndisputableMonolith.Musicology.ModalPreferenceFromPhi
decl_use
rung
in IndisputableMonolith.RSBridge.Anchor
decl_use