GIFT mathematical core - Formally verified constants (Lean 4 + Coq)
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GIFT Core
Formally verified mathematical relations from the GIFT (Geometric Information Field Theory) framework. All relations are proven in both Lean 4 and Coq.
Overview
This repository contains 175+ exact mathematical identities derived from topological invariants of E8 gauge theory on G2 holonomy manifolds. Each relation is:
- An exact rational or integer value (no fitting)
- Independently verified in two proof assistants
- Available as Python constants via
giftpy
Installation
pip install giftpy
Quick Start
from gift_core import *
# Certified constants
print(SIN2_THETA_W) # Fraction(3, 13)
print(KAPPA_T) # Fraction(1, 61)
print(GAMMA_GIFT) # Fraction(511, 884)
Building Proofs
# Lean 4
cd Lean && lake build
# Coq
cd COQ && make
Documentation
License
MIT
GIFT Core v3.1.0
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