IndisputableMonolith.Foundation.ExclusivityProof
ExclusivityProof module certifies uniqueness of cost determination under exclusivity constraints in the Recognition Science foundation. Researchers on the zero-parameter framework cite it to close the base layer before deriving constants. The module organizes content around the imported time quantum and sibling definitions to reach the exclusivity certificate.
claimIn the RS framework with time quantum satisfying $τ_0 = 1$ tick, the module defines ExclusivityConstraints and proves existence of ExclusivityCert such that the constraints determine the cost function.
background
The module sits in the Foundation domain and imports Mathlib together with IndisputableMonolith.Constants. The upstream Constants module supplies the definition of the fundamental RS time quantum as $τ_0 = 1$ tick. It assembles sibling declarations including ZeroParameterFramework, FrameworkConstraints, RCLDerivation, rcl_chain_is_valid, ExclusivityConstraints, constraints_determine_cost, ExclusivityCert, and exclusivity_cert_exists.
proof idea
The module structures its argument as a sequence of supporting declarations rather than a single tactic block. It first installs the zero-parameter framework and constraints, derives the RCL chain validity, shows that constraints determine cost, and concludes with the existence of the exclusivity certificate.
why it matters in Recognition Science
This module feeds the parent results in the unified forcing chain by supplying exclusivity guarantees that support J-uniqueness and constant derivations. It closes a step showing the framework admits no free parameters beyond the base quantum.
scope and limits
- Does not derive explicit numerical values for G or hbar.
- Does not prove the eight-tick octave or D = 3 forcing directly.
- Does not extend to mass formulas on the phi-ladder.