def definition def or abbrev

`phiRung`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

  69def phiRung (n : ℕ) : ℤ :=

proof body

Definition body.

  70  (Nat.factorization n).sum (fun p k => k * phiRungPrime p)
  71
  72/-- `phiRung(1) = 0` (the empty product). -/

used by (22)

From the project-wide theorem graph. These declarations reference this one in their body.

E_coh_rs in IndisputableMonolith.Constants.RSNativeUnits decl_use
E_coh_rs_eq_E_coh in IndisputableMonolith.Constants.RSNativeUnits decl_use
gap45 in IndisputableMonolith.Constants.RSNativeUnits decl_use
phiRung in IndisputableMonolith.Constants.RSNativeUnits decl_use
phiRung_add in IndisputableMonolith.Constants.RSNativeUnits decl_use
phiRung_neg in IndisputableMonolith.Constants.RSNativeUnits decl_use
phiRung_neg_one in IndisputableMonolith.Constants.RSNativeUnits decl_use
phiRung_one in IndisputableMonolith.Constants.RSNativeUnits decl_use
phiRung_pos in IndisputableMonolith.Constants.RSNativeUnits decl_use
phiRung_zero in IndisputableMonolith.Constants.RSNativeUnits decl_use
scaleByPhi in IndisputableMonolith.Constants.RSNativeUnits decl_use
status in IndisputableMonolith.Constants.RSNativeUnits decl_use
phi_ladder_recovery in IndisputableMonolith.Gravity.UltramassiveBH decl_use
phiRung in IndisputableMonolith.Gravity.UltramassiveBH decl_use
chi8_periodic in IndisputableMonolith.NumberTheory.RecognitionTheta decl_use
phiRung_mul in IndisputableMonolith.NumberTheory.RecognitionTheta decl_use
phiRung_one 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
recognition_theta_certificate in IndisputableMonolith.NumberTheory.RecognitionTheta decl_use
recognitionThetaTerm in IndisputableMonolith.NumberTheory.RecognitionTheta decl_use

depends on (4)

Lean names referenced from this declaration's body.

phiRung in IndisputableMonolith.Constants.RSNativeUnits decl_use
phiRung in IndisputableMonolith.Gravity.UltramassiveBH decl_use
phiRungPrime in IndisputableMonolith.NumberTheory.RecognitionTheta decl_use
empty in IndisputableMonolith.RRF.Foundation.Ledger decl_use