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formal statement (Lean)
288theorem mass_rung_step (ys : ℝ) (n : ℤ) :
289 mass_rung ys (n + 1) = phi * mass_rung ys n := by
proof body
Term-mode proof.
290 unfold mass_rung
291 push_cast
292 rw [Real.rpow_add (by exact phi_pos), Real.rpow_one]
293 ring
294
295/-- **THEOREM**: Mass is positive for positive yardstick. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
-
rung_ratio
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
spectral_emergence
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
depends on (9)
Lean names referenced from this declaration's body.
-
Mass
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
mass_rung
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
yardstick
in IndisputableMonolith.Masses.Anchor
decl_use
-
yardstick
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use