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)

 217noncomputable def phiRung (M M₀ : ℝ) : ℝ :=

proof body

Definition body.

 218  Real.log (M / M₀) / Real.log phi
 219
 220/-- The φ-rung recovers the mass: M₀ · φ^(phiRung M M₀) = M. -/

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
chi8_periodic in IndisputableMonolith.NumberTheory.RecognitionTheta decl_use
phiRung 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 (9)

Lean names referenced from this declaration's body.

rung in IndisputableMonolith.Compat.Constants decl_use
phiRung in IndisputableMonolith.Constants.RSNativeUnits decl_use
rung in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy decl_use
rung in IndisputableMonolith.Masses.AnchorPolicy decl_use
rung in IndisputableMonolith.Masses.RSBridge.Anchor decl_use
phiRung in IndisputableMonolith.NumberTheory.RecognitionTheta decl_use
M in IndisputableMonolith.Recognition decl_use
M in IndisputableMonolith.Recognition.Cycle3 decl_use
rung in IndisputableMonolith.RSBridge.Anchor decl_use