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TauLib.BookVII

TauLib.BookVII — Categorical Metaphysics

Master import file for Book VII (Categorical Metaphysics) Lean modules.

Book VII = E₃ enrichment layer: from categorical structure to lived reality. Metaphysics = SelfDesc² (self-modelling of self-modelling). Four registers (E, P, D, C) + Logos sector (D ∩ C).

Module Organization

Meta (Part 1: Foundational Layer)

  • Registers: 4+1 register decomposition, enrichment chain, E₃ layer (0 sorry)

  • Saturation: Saturation Theorem, Gödel Avoidance, Inevitability (0 sorry)

  • Archetypes: Minimal j-closed fixed points, three archetypes (0 sorry)

Ethics (Part 7: Practical Register)

  • CIProof: CI programme — dignity, sheaf equivalence, kernel theorem, uniqueness (0 sorry)

Social (Part 8: Social Ontology)

  • Ontology: Social base space, recognition topology, social sheaf, power, legitimacy, ritual (0 sorry)

Logos (Part 10: Mixed Sector)

  • Sector: Logos characterization, rigidity (2 sorry — methodological boundary)

Final (Parts 10, 12: Boundaries)

  • Boundary: No Forced Stance, Lemniscate Closure (2 sorry — methodological boundary)

Current Count: 7 modules

Status: P1 complete (0 sorry), P2 complete (0 sorry), P3 partial (4 sorry, all methodological)