Gravity Analysis Regge Exact Midpoint M2 Ttidentity4 Dm2 Num Chunk02 E 020010

A numerical identity in the gravity analysis

The declaration e_020010 is a theorem in a machine-checked library of formal mathematics. It states that 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 by decide, meaning the computer checks the equality by direct calculation, without relying on any additional assumptions.

In plain terms, the theorem confirms a specific numerical relationship between two functions used in the library's gravity analysis. The function m2Num appears to be a numerical expression, and explicitZ appears to be a reference or explicit value. The factor of eight is a constant multiplier. The theorem covers one point in a grid of indices, and the surrounding declarations in the same file verify the same relationship for many other index combinations.

This is a local, computational fact. It does not by itself establish any physical law, any property of gravity, or any connection to the broader Recognition Science framework. The theorem is a single verified arithmetic identity within a larger formal development. Its role is to support the consistency of the numerical calculations in that development, not to assert anything about the physical world.

Within the framework, this theorem is a small step in a chain. It contributes to the formal verification of a larger identity, but the meaning of that larger identity, and its physical interpretation, if any, is not established by this declaration alone. The reader should understand e_020010 as a precise, machine-checked arithmetic fact, and nothing more.

theorem e_023333 : m2Num 0 2 3 3 3 3 = 8 * explicitZ 0 2 3 3 3 3 := by decide

What this page does not claim

This theorem does not establish any physical law or property of gravity. This theorem does not by itself connect to the broader Recognition Science framework or its derived constants. This theorem does not claim that the functions m2Num and explicitZ have any physical meaning.

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/ReggeExactMidpointM2TTIdentity4DM2NumChunk02.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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