DEF0170canonicalv1Moduli Space
The set of isomorphism classes of fibered products satisfying axioms K0-K5. By categoricity (II.T42), the moduli space is a singleton.
Payload
Moduli Space
The set of isomorphism classes of fibered products satisfying axioms K0-K5. By categoricity (II.T42), the moduli space is a singleton.
Moduli Space
Summary
The set of isomorphism classes of fibered products satisfying axioms K0-K5. By categoricity (II.T42), the moduli space is a singleton.
Statement
%
\label{def:moduli-space}
The \textbf{moduli space} of structures
satisfying axioms K0--K5
is the set of isomorphism classes
of fibered products $(M, \Phi_M)$
for which K0--K5 hold:
\[
\boxed{%
\mathcal{M}_{\tau^3}
\;:=\;
\bigl\{\,
(M, \Phi_M) \;\big|\;
(M, \Phi_M) \text{ satisfies K0--K5}
\,\bigr\}\big/{\cong}.}
\]
Proof / Justification
This item is definitional. No manuscript proof is required.
Source Context
- Registry source:
book-02.jsonlline 152 - Manuscript source:
2nd-edition/book-ii-categorical-holomorphy/02_mainmatter/part09/ch52-liouville-categoricity.texlines 698-715
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookII.CentralTheorem.Categoricity - Name:
Tau.BookII.CentralTheorem.moduli_singleton_check
Dependencies
- Canonical: II.T42
Related Results
Generated by later projection phases.
Related Publications
Generated by later projection phases.
Revision Notes
- 2026-04-24: Initial pilot migration.
Identifiers
Aliases & legacy IDs
II.D61moduli-spacedef:moduli-spaceRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (2)
Appears in (1)
Downstream uses (computed) (4)
Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.
Sources
Version & History
Status disclaimer
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