Explain the Lean theorem `four_pi_in_interval` in module `IndisputableMonolith.Numerics.Interval.PiBounds`. Write for an educated reader who knows science and programming but may not know Lean. Cover: (1) what the declaration says in plain English, (2) why it matters in Recognition Science, (3) how to read the formal statement, (4) visible dependencies or certificates in the supplied source, and (5) what this declaration does not prove. Cite only declarations present in the supplied Recognition source.

The supplied Lean source does not contain the module IndisputableMonolith.Numerics.Interval.PiBounds or the declaration four_pi_in_interval. The provided modules are limited to AlexanderDuality (linking and D=3 via cohomology), LanglandsFromRecognitionCost (partition functions and J-cost symmetry), RealityFromDistinction (forcing chain from distinction to spacetime and constants), SingleAnchor calibration (SI seam from tau0), RecognitionBandGeometry (rho band boundaries with phi), RecognitionBandwidth (holographic throughput with 8-tick cadence), RecognitionForcing (cost-to-recognition bridge), and ConstructiveNote (computability of RS constants). No interval arithmetic, pi bounds, or numerics module appears. The question cannot be answered from the canon slice.