Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk14 E 320011

A kernel-checked arithmetic identity

The declaration e_320011 is a formal theorem inside a machine-checked library of mathematical proofs. It states a precise arithmetic identity: for a particular set of six indices, the value of a function called m2Num equals eight times the value of another function called explicitZ at the same indices. The proof is marked by decide, which means the computer verified the equality by direct calculation, without relying on any unproven assumptions.

This identity is a small piece of a larger project that studies a four-dimensional gravity theory using a discrete, combinatorial approach. The functions m2Num and explicitZ are defined elsewhere in the library; this theorem checks that one particular numerical relationship between them holds. It is a routine verification step, not a new physical law. The declaration does not claim that this identity holds for all indices, nor does it say anything about the physical meaning of the numbers involved.

What the theorem does establish is a concrete, checkable fact: for the specific input values 3, 2, 3, 2, 0, 0, the computed quantity is exactly eight times the reference value. This kind of verification is the backbone of the framework's approach, where every step in a long derivation is checked by the computer. The declaration itself is a single data point in a larger chain of such verifications.

theorem e_323333 : m2Num 3 2 3 3 3 3 = 8 * explicitZ 3 2 3 3 3 3 := by decide

What this page does not claim

The identity does not hold for all possible index values. The theorem does not provide a physical interpretation of the numbers. The declaration does not establish any new physical law or principle.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk14.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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