Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk14

The 256-entry check

This result is part of a larger machine-checked library of formal theorems. It verifies a specific batch of calculations in a gravity analysis framework. The calculations compare two ways of computing a quantity called m2Num: a direct, detailed method and a simpler formula called explicitZ. The result proves they agree for a particular set of 256 cases, each identified by six numbers.

Each case is like a coordinate in a six-dimensional grid. The numbers range from 0 to 3, and the verification checks every combination where the first two numbers are 3 and 2. For each of these 256 combinations, it proves that m2Num equals 8 times explicitZ. The proof method is called 'by decide', which means the computer checks the arithmetic directly, step by step, without relying on any unverified assumptions.

The significance is that this is a concrete, exhaustive verification. It does not prove a general rule for all possible inputs; it proves the rule for this specific block of 256 cases. This is a building block. Larger theorems about the behavior of m2Num and explicitZ can be assembled from such verified chunks, confident that each piece is correct.

In the broader framework of Recognition Science, this kind of exact, case-by-case verification is how the library accumulates trust. Each theorem, however small, is checked by the machine. This result is one such small but solid step, confirming that for these 256 points, the two formulas agree perfectly.

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

This result proves a general rule for all possible inputs to m2Num. This result establishes the physical meaning of m2Num or explicitZ. This result connects to the broader theorems of the 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/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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