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Author SHA1 Message Date
Maximus Gorog
511d564a55 Add MetaCTerm structural mirror, .cterm artifact arm, MetaPosition.binder 
Foundation.Meta gains an 8-constructor MetaCTerm inductive that mirrors
the cubical CTerm's generic shape (ident/sym/app/lam/plam plus dedicated
comp/transp arms; cubical-specific operators encode via .ident-headed
.app chains). MetaArtifact picks up a .cterm arm for structure-preserving
artifact content. MetaPosition gets an Option Lean.Name binder field so
the dim-binder of a comp/transp can be threaded structurally instead of
folded into the classifier.

These additions back the cubical-bridge's Embed.lean overhaul: a real
coreflection between the cubical universe (CType/CTerm/FaceFormula/
DimExpr) and the meta-mirror, with partial inverses and per-constructor
round-trip theorems.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
 2026-05-01 09:08:01 -06:00
Maximus Gorog
ba0a49823b Phase A: Foundation lib — meta-mirror, Edit/Context, restructure, registries 
Initial commit.  Six modules extracted from
cubical-transport-hott-lean4/CubicalTransport/Algebra/ and
re-namespaced as `Infoductor`:

- Foundation/Meta.lean         — MetaCType, MetaClassifier,
                                 MetaArtifact, MetaPosition
                                 (with manual mutual decEq for
                                 MetaClassifier's recursive
                                 lattice arms)
- Foundation/Edit.lean         — Edit monad + Context comonad +
                                 distributive law +
                                 MetaClassifier.atPosition
                                 with lattice laws as theorems
- Foundation/Restructure.lean  — universal `restructure` (5-field
                                 comp-shaped operation), 6 frozen
                                 aliases, headless apply +
                                 brokenRefs / selfConsistent /
                                 Edit.guarded
- Foundation/MacroAlias.lean   — @[macroAlias] attribute +
                                 EnvExtension registry
- Foundation/MetaPath.lean     — @[metaPath src target]
                                 attribute + registry +
                                 findPathsFromSource/ToTarget
- Foundation/Methodology.lean  — @[methodology classifier]
                                 attribute + registry +
                                 deriveByTransport (walks
                                 metaPath registry) +
                                 tryEntryAsClosed primitive +
                                 cubical_search reference
                                 demonstrator

Builds clean on lean4 v4.30.0-rc2, ten oleans.  No deps beyond
Lean stdlib.  Sub-libs Tactics / Pantograph / Runner are planned
under the same lakefile.toml but not yet implemented.

Pairs with Pantograph as the conductor sits atop the pantograph
on an electric train.  "Info-ductor" — conducts information
(structure / classifications / methodology) through a Lean
codebase.

Forgejo: http://maxgit.wg:3000/max/infoductor

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
 2026-05-01 07:20:36 -06:00