Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk09 E 210011

A numerical identity in chunks

In the Recognition Science framework's machine-checked library of formal theorems, a declaration named e_210011 is part of a larger verification effort. The framework's library is a collection of mathematical statements whose proofs have been checked by a computer, so each theorem is a verified fact. This particular declaration is one of many in a file that checks a numerical identity for a function called m2Num, which appears in an analysis related to gravity. The identity states that for a specific set of six input numbers, the value of m2Num equals eight times the value of another function, explicitZ, for the same inputs. The proof of this statement is marked as "by decide", meaning the computer checked it by direct computation.

This single declaration does not prove any general law of gravity or any broad physical principle. It is a concrete, finite arithmetic check. The file it belongs to, ReggeExactMidpointM2TTIdentity4DM2NumChunk09, contains dozens of similar theorems, each verifying the identity for a different combination of six numbers. The name of the file suggests it is the ninth chunk of a larger set of such checks. The declaration e_210011 is not the main theorem of this effort; it is a supporting lemma, one small piece in a large computational proof. The identity it verifies is a relation between two defined functions, not a statement about the physical world.

What this declaration does not claim is equally important. It does not claim that the identity holds for all possible inputs, only for the specific six numbers named in the theorem. It does not claim that m2Num or explicitZ represent any particular physical quantity. The framework's analysis of gravity may use these functions, but this single theorem does not connect them to any measurable effect. The declaration is a technical step in a formal verification, not a discovery about nature. Its value lies in being a verified part of a larger proof, not in any standalone meaning.

theorem e_213333 : m2Num 2 1 3 3 3 3 = 8 * explicitZ 2 1 3 3 3 3 := by decide

theorem e_213333 : m2Num 2 1 3 3 3 3 = 8 * explicitZ 2 1 3 3 3 3 := by decide

theorem e_213333 : m2Num 2 1 3 3 3 3 = 8 * explicitZ 2 1 3 3 3 3 := by decide

What this page does not claim

The declaration does not prove a general law of gravity. The declaration does not claim the identity holds for all possible inputs. The declaration does not establish any connection between m2Num and a measurable physical effect.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk09.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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