module module moderate

`IndisputableMonolith.Foundation.OptionAEmpiricalProgram`

The module defines executable rows and supporting lemmas for the Option A first-pass empirical program. It extends the four-layer readiness gate imported from OptionAEmpiricalReadiness. Recognition Science researchers would cite these specs when structuring initial empirical tests. The module contains type definitions together with lemmas on length, injectivity and absence of duplicates.

claimThe module introduces $ProgramSpec$ as the type of one executable row in the Option A first-pass empirical program, together with $firstPassProgram$ and lemmas asserting length, nodup and exact top priority.

background

The upstream OptionAEmpiricalReadiness module states that a combination is ready when it possesses all four operational layers: falsifier protocol, analysis action, deliverable artifact. This module supplies the concrete executable structure that meets those layers. It forms part of the Foundation domain whose purpose is to prepare empirical checks of the Recognition Science derivations from the single functional equation.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the program specifications needed to test the forcing chain T0-T8 and the Recognition Composition Law. It prepares the transition from the theoretical phi-ladder and mass formula to concrete empirical validation, although the current dependency graph lists no downstream users.

scope and limits

Does not execute any program or collect data.
Does not prove physical predictions such as the mass formula.
Does not reference constants in RS-native units.
Does not address the Berry creation threshold.

depends on (1)

Lean names referenced from this declaration's body.

IndisputableMonolith.Foundation.OptionAEmpiricalReadiness module_import

declarations in this module (17)

structure ProgramSpec L29
def programSpec L39
theorem programSpec_injective L48
def firstPassProgram L53
theorem firstPassProgram_length L56
theorem firstPassProgram_nodup L61
theorem firstPassProgram_exact_top_priority L67
theorem scheduled_program_ready L71
theorem scheduled_program_pipeline L76
theorem firstPassProgram_actions_nodup L81
theorem firstPassProgram_deliverables_nodup L85
theorem firstPassProgram_pipelines_nodup L89
class is L94
def FirstPassProgramComplete L95
theorem firstPassProgramComplete L104
structure EmpiricalProgramCert L109
def empiricalProgramCert L127