Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk07 E 130011

The chunk's arithmetic

The declaration e_130011 is one small theorem inside a much larger machine-checked library of formal theorems. The library is a collection of mathematical statements whose proofs have been verified by a computer program, so each theorem is known to follow from the axioms by the rules of logic. This particular theorem does not concern the physical theory of gravity directly. It concerns a function called m2Num, which appears in the framework's analysis of a gravity-related identity, and a companion function called explicitZ.

The theorem states a simple numerical relationship. For the specific inputs 1, 3, 3, 0, 0, 1, the value of m2Num equals eight times the value of explicitZ. In symbols, m2Num 1 3 3 0 0 1 = 8 * explicitZ 1 3 3 0 0 1. The proof is a direct computation, marked by the word "decide" in the library, meaning the computer checked the arithmetic by calculation. The declaration is one entry in a sequence of similar theorems, each covering a different set of six inputs, and together they form a chunk of verification work.

The importance of this declaration is narrow. It confirms that for this one set of inputs, the two functions stand in the stated ratio. It does not establish the identity for all inputs, and it does not say what either function means physically. The declaration is a building block: it supports the larger structure of the framework's gravity analysis, but by itself it proves only this one arithmetic fact.

theorem e_133301 : m2Num 1 3 3 3 0 1 = 8 * explicitZ 1 3 3 3 0 1 := by decide

What this page does not claim

This declaration does not prove the identity for all possible inputs, only for the single set of six numbers listed. This declaration does not provide a physical interpretation of the m2Num or explicitZ functions. This declaration does not itself establish any result about gravity or the framework's physical predictions.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk07.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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