trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Polynomial Index

A Hasse derivative lowers a polynomial's weighted index by at most its derivative weight.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES5
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Polynomial Index

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Mv Hasse DerivMv Hasse DerivWeighted OrderWeighted OrderPolynomial IndexPolynomial IndexAuxiliary PolynomialAuxiliary PolynomialAuxiliary Polynomial Fixed DegreeAuxiliary Polynomial FixedDegreeGeneralized WronskianGeneralized WronskianIndex RenameIndex RenameRoth Key InequalityRoth Key Inequality
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/DiophantineApproximation/PolynomialIndex
Repository path
D5/S3/Arith/DiophantineApproximation/PolynomialIndex.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.