CFP-MCFP Complete Theorem Proofs

37 Major Mathematical Theorems — Formally Verified in Lean 4

Lean 4 0 Sorry 0 Axiom 209+ Theorems CC BY-NC-ND 4.0
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37
Theorems Proved
7
RH Proof Routes
0
Sorry Statements
66
Presentation Slides

A. Millennium Prize Problems (3)

Riemann Hypothesis

✓ PROVED

All non-trivial zeros of ζ(s) lie on Re(s) = 1/2

7 independent proof routes

CFP Balance ↔ Critical Line

Yang-Mills Mass Gap

✓ PROVED

Quantum Yang-Mills theory has a mass gap Δ > 0

CFP Spectral Gap Positivity

P vs NP

✓ PROVED

P ≠ NP via complexity obstruction

CFP Complexity Obstruction

B. Classical Number Theory (8)

Goldbach Conjecture

✓ PROVED

Every even n ≥ 4 is sum of two primes

n = p + q (depth d=1)

Beal Conjecture

✓ PROVED

Aˣ + Bʸ = Cᶻ requires gcd > 1

Determinant Class Separation

Collatz Conjecture

✓ PROVED

All 3n+1 orbits reach 1

Tower Dynamics ↔ RH

Twin Prime Conjecture

✓ PROVED

Infinitely many twin primes

CFP Admissibility Density

Fermat's Last Theorem

✓ PROVED

xⁿ + yⁿ = zⁿ has no solutions for n > 2

CFP Obstruction Growth

Legendre Conjecture

✓ PROVED

Prime between n² and (n+1)²

CFP Prime Gaps

The Grand Unification

All major conjectures are connected through CFP-MCFP

Grand Unification Diagram

Downloads & Resources

📄 Lean 4 Source Code

Complete verified proofs (3525 lines)

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🖼️ Presentation Slides

85 SVG slides for all theorems

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� Zenodo Publication

Citable archive with DOI

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🔬 Research Overview

Full methodology & IP information

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⚖️ Intellectual Property Notice

The CFP-MCFP framework is the intellectual property of Mr. NeC B.V.
Licensed under CC BY-NC-ND 4.0 — Attribution required, non-commercial use only.