Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk10 E 220001

Chunk 10 verification

The declaration e_220001 is one small step in a much larger formal verification project. It proves, by direct computation, that a particular numerical expression called m2Num, when given the six inputs 2, 2, 0, 0, 0, 1, equals 8 times another expression called explicitZ with the same six inputs. The proof is a theorem in a machine-checked library of formal theorems, meaning a computer program has verified the arithmetic step by step. The notation "by decide" in the proof means the computer simply calculated both sides and confirmed they match.

This identity is part of chunk 10 of a larger verification effort, which the surrounding documentation describes as "256 kernel decides." The broader context is a calculation in a framework called Recognition Science, which models physical structure using a discrete record of events and a forced cost function. Within that framework, this chunk of arithmetic supports a larger identity about gravitational analysis, but the declaration itself only establishes the numerical equality for this one specific set of inputs. It does not, by itself, prove anything about gravity, physics, or the broader framework.

What the declaration establishes, and all it establishes, is the arithmetic fact: m2Num 2 2 0 0 0 1 = 8 * explicitZ 2 2 0 0 0 1. The proof is complete and machine-checked, with no gaps. But the meaning of m2Num and explicitZ, and why this identity matters, comes from definitions and theorems elsewhere in the library, not from this declaration alone. The declaration is a verified brick in a wall, not the wall itself.

theorem e_223333 : m2Num 2 2 3 3 3 3 = 8 * explicitZ 2 2 3 3 3 3 := by decide

What this page does not claim

The declaration does not establish any physical law or empirical fact about gravity. The declaration does not define what m2Num or explicitZ mean; it only verifies a numerical relationship between them. The declaration does not prove the larger gravitational identity that this chunk is part of.

Verify this page

Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:

$ lake env lean IndisputableMonolith/Gravity/Analysis/ReggeExactMidpointM2TTIdentity4DM2NumChunk10.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

A page whose claims cannot be reproduced this way does not ship. In production, every anchor links to the exact declaration in the public source release, and this block carries the build receipt for the page itself.

Derived articles

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