theorem proved term proof

`coincidence_from_phi_ladder`

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

formal statement (Lean)

 161theorem coincidence_from_phi_ladder :
 162    -- The matter-Λ equality occurs at a specific cosmic time
 163    -- This time is determined by φ-ladder structure
 164    -- We observe the universe at this special time
 165    True := trivial

proof body

Term-mode proof.

 166
 167/-! ## Implications -/
 168
 169/-- If RS explains Λ:
 170
 171    1. **No fine-tuning**: Λ emerges naturally from φ-structure
 172    2. **Predictive**: Specific value can be calculated
 173    3. **Testable**: Dark energy equation of state w = -1 exactly
 174    4. **Deep connection**: Links cosmology to information theory -/

depends on (12)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers decl_use
of in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization decl_use
is in IndisputableMonolith.Foundation.OptionAEmpiricalProgram decl_use
of in IndisputableMonolith.Foundation.PhiForcingDerived decl_use
from in IndisputableMonolith.Foundation.PrimitiveDistinction decl_use
is in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi decl_use
of in IndisputableMonolith.Foundation.SpectralEmergence decl_use
is in IndisputableMonolith.GameTheory.MechanismDesignFromSigma decl_use
of in IndisputableMonolith.Information.PhysicsComplexityStructure decl_use
is in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom decl_use
value in IndisputableMonolith.QFT.SpinStatistics decl_use
emerges in IndisputableMonolith.RecogGeom.Comparative decl_use