IndisputableMonolith.NumberTheory.FinitePhaseCompleteness
FinitePhaseCompleteness supplies the reciprocal integer ledger carrier in the NumberTheory domain. It supports transfer of recovered LogicInt ledgers to phase-budget surfaces via the downstream LogicLedgerInterop module. This is a definition module with no proofs.
claimThe reciprocal integer ledger carrier.
background
The module sits in the NumberTheory domain and imports only Mathlib. It introduces the reciprocal integer ledger as a carrier together with the sibling definitions finite_phase_completeness and finite_phase_separates_nonidentity. The setting concerns ledger structures that later interoperate with phase-budget surfaces.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module feeds the LogicLedgerInterop module, which transfers the recovered LogicInt ledger to the existing integer-ledger phase-budget surface.
scope and limits
- Does not contain any theorems or proofs.
- Does not depend on Recognition Science primitives beyond Mathlib.