canonical-carriage: The Canonical Lane runtime for AI agents: plans, approvals, receipts, remainders, and stability preflight before side effects.
Canonical Lane is a manifold-constrained local-to-global theorem-program library.
This profile routes the public math surface through paired repositories: each problem has a canonical-lane closure package and a Mathlib formalization layer.
- 新时代英烈精神传承弘扬智慧平台
- Private Clients: access-controlled client surface for private implementation, onboarding, and review.
- Canonical Lane Mathlib: Mathlib-backed Canonical Lane projection and carriage core for Lean 4 theorem packages.
- Commentary: source-bound mathematical commentary, counterexample certificates, and replay scripts.
Current notes: OpenConjecture 367, 368, 756, 1878, 2421, and dice pqr packets are linked below.
The theorem-program library follows through the lane and Mathlib repository pairs below.
Private client access is handled by invitation through the access-controlled repository.
- Lane: the theorem-facing closure package with admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.
- Mathlib: the source-derived formalization layer for proof-boundary checking and package translation.
- Scope: each row points to the public object to inspect; each repository carries its own claim boundary, citation notice, and remainder surface.
Commentary is the public shelf for source-bound notes, counterexample certificates, and replay records.
| Note | Public Role |
|---|---|
| Magnitude finite-gap coefficient counterexample | Lean-checked ell_1^1 finite-gap counterfamily to the OpenConjecture 756 universal coefficient statement |
| Stack-sort Motzkin bijection | Source-level proof packet identifying OpenConjecture 1878 stack-sorting diagrams with Motzkin paths |
| LAWS coupon counterexample | Source-worded counterexample to the expert-creation lower-bound wording for OpenConjecture 2421 |
| Dice pqr counterexample | Source-worded counterexample certificate with replay script and bounded instance index |
| General SGD moment disproof | Lean-checked bounded disproof packet for OpenConjecture 367, separating the printed stationary-moment route from the repaired-centered route |
| Stein printed-statement obstruction | Lean-checked absolute-value obstruction to the printed Stein solution statement for OpenConjecture 368 |
This page indexes 87 paired math surfaces generated from live GitHub repository names.
For readers coming from Objectivist epistemology, the bridge is:
Objectivism:
A = A
Canonical Lane:
Π(A) = A ⇔ lawful coherence under projection
identity as asserted fixity → identity as achieved invariance under projection
law → idempotent projection from flux into invariance
freedom → lawful variation inside admissible scope
rationality → fixed-point coherence under projection
A is A is preserved, but strengthened: Π(A) = A expresses identity as achieved invariance under lawful projection.
This layer is intentionally redacted from the public library surface.
The full Moral Tensor Dialectic is available only through the private WeChat archive:
HautevilleHouse
This page is a routing surface. The mathematical claim boundary lives inside the individual lane repositories, their formalization layers, and their carried-remainder records.
All Rights Reserved - No License Granted. Viewing these repositories through GitHub grants read access only. Reuse, redistribution, derivative forks, or implementation of patent-covered material require separate written permission. Cite the relevant repository when discussing, reviewing, comparing, or referencing the work.