Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk05 E 110011

A verified arithmetic step

The declaration e_110011 is a single, machine-checked arithmetic fact inside a larger verification effort. It states that for the index combination 1,1,0,0,1,1, a quantity called m2Num (a numerical value arising in a gravity analysis) equals 8 times another quantity called explicitZ (an explicitly defined reference value). In symbols: m2Num 1 1 0 0 1 1 = 8 * explicitZ 1 1 0 0 1 1.

The proof is not a long argument. It is a direct computation, marked by decide, meaning the machine checked the equality by evaluating both sides. The declaration belongs to a family of similar theorems, each covering a different six-digit index combination, all asserting the same factor-of-8 relationship. The docstring notes this is "chunk 5" of a larger set, with a 256-entry kernel deciding the cases.

What e_110011 does not claim is broader. It does not assert that the factor of 8 holds for all index combinations; it only covers the one combination named. It does not explain what m2Num or explicitZ physically mean, nor why the factor 8 appears. It does not connect to any larger theorem about gravity, the Regge calculus, or the Recognition Science framework's forcing chain. It is a building block, not a conclusion.

Within the framework's library, this declaration is a verified computational step. Its value is that it is machine-checked: a reader can trust the arithmetic without redoing it. The larger significance, if any, lies in the collection of such steps and what they assemble into, not in this single fact alone.

theorem e_113333 : m2Num 1 1 3 3 3 3 = 8 * explicitZ 1 1 3 3 3 3 := by decide

What this page does not claim

The factor-of-8 relationship holds for all index combinations. The declaration explains the physical or mathematical meaning of m2Num or explicitZ. The declaration establishes any result about gravity or the Recognition Science forcing chain.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk05.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

This page is generated by a question-recursion engine: the questions its answers raise become the next pages. The current agenda, with open targets marked red: