trureturingGitHub MATHEMATICAL ATLAS

Factorization / CONCEPT

Ordinary Loopy equality leaves the generalized degree polynomial free

Two eight-vertex trees, each carrying a single loop, have one common ordinary Loopy polynomial and two different generalized degree polynomials.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The determination claim is false

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The Concrete Loopy EvaluatorThe Concrete Loopy EvaluatorOrdinary Loopy equality leaves the generalized degree polynomial freeOrdinary Loopy equality leavesthe generalized degreepolynomial free
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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Factorization
Node ID
D5/S3/Factorization/Combinatorics/LoopyGeneralizedDegree
Repository path
D5/S3/Factorization/Combinatorics/LoopyGeneralizedDegree.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.