DEF0226canonicalv1Forbidden Move Mapping
All three gaps map to exponential_quantification (K4 violation). Finite→infinite passage requires exponential quantification.
Payload
Forbidden Move Mapping
All three gaps map to exponential_quantification (K4 violation). Finite→infinite passage requires exponential quantification.
Forbidden Move Mapping
Summary
All three gaps map to exponential_quantification (K4 violation). Finite→infinite passage requires exponential quantification.
Statement
\label{def:gap-forbidden-move}
All three gaps map to the same forbidden move:
\texttt{exponential\_quantification} (K4 violation). The passage from
finite verification to infinite proof requires quantifying over
exponentially many objects.
\textbf{Lean:} \texttt{gap\_forbidden\_move}.\quad
\textbf{Registry:} III.D113.
Proof / Justification
This item is definitional. No manuscript proof is required.
Source Context
- Registry source:
book-03.jsonlline 285 - Manuscript source:
2nd-edition/book-iii-categorical-spectrum/02_mainmatter/part10/ch81-additive-conjectures-deep.texlines 413-421
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Bridge.ConjectureGaps - Name:
gap_forbidden_move
Dependencies
- Canonical: III.D112, III.D69
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
III.D113forbidden-move-mappingdef:gap-forbidden-moveRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (5)
Appears in (1)
Downstream uses (computed) (10)
Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.
FTH0469formal theorem
FTH0469formal theorem
FTH0472formal theorem
FTH0472formal theorem
FTH0473formal theorem
FTH0473formal theorem
FTH0474formal theorem
FTH0474formal theorem
FTH0475formal theorem
FTH0475formal theoremSources
Version & History
Status disclaimer
A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.