Lean verification registry · Authored proofs · The Logos Architecture

Proper Competition by Maclain Hunter

Source recorded — formalization still required
Axiom-free: not established · 0 checked theorem statements.

Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.

Original source author: Maclain Hunter. Machine formalization: Replit Agent. No original wording was rewritten.

Source registered: 2026-10-02T20:20:47.766Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:41:15.348Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 31891c46741532e6e203059acdce85522b6761aa8c7a11c54589d4c130cc2680

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
Not executed: no complete licensed formal sequent recovered.

Source-bound formal statements

No complete formal sequent has yet been recovered. This source is recorded, not marked Lean-verified.

Exact authored source in the timestamped release

Proper Competition by Maclain Hunter: 

P: □: REASON - the Standard of LOGIC.

Q: □: Alternative standards to REASON that DON’T cohere with LOGIC - as logical rules and the rule set of valid games/competitions MUST. 

Proof: 

PQ⎪P P↔¬Q╞(P&¬Q)→¬(¬P&Q)

TT⎪T TFFT  TFFT TT FTFT 
TF⎪T TTTF  TTTF TT FTFF 
FT⎪F FTFT  FFFT TF TFTT 
FF⎪F FFTF  FFTF TT TFFF 

(Valid)

Conclusion: 

A ruleset determining victory must be logically coherent and cannot tolerate inconsistent limitations (ie - subjective answers being considered correct over objective answers in a trivia question based contest).

This extends to unfair or less limited entrants to competition (ie - men in women’s MMA).

Q.E.D. 

Paraphrasing the Rule of Logic: 

“You shall not disturb the absence of annihilation and or tolerate the destruction of Creation (and Construct/Logic)” - Maclain Hunter

Paraphrased Rule of Logic:

“Preserve the integrity of existence; do not permit the dissolution of Creation, Structure, or Logic.”

A third one I could add is: 

“As Existence (or any part of it), do not work undermine Existence (or any part of it).”