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The Lower Mechanical Complexity Characterization

Characterize irrational lower mechanical slopes simultaneously by exact factor complexity and failure of eventual periodicity.

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DIRECT PREREQUISITES2
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PROOF DEPTH3
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THEOREM

A positive period bounds every factor count

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Factor Complexity of Irrational Lower Mechanical WordsFactor Complexity of IrrationalLower Mechanical WordsPeriodicity of Lower Mechanical WordsPeriodicity of Lower MechanicalWordsThe Lower Mechanical Complexity CharacterizationThe Lower Mechanical ComplexityCharacterization
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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/Complexity/MechanicalComplexityCharacterization
Repository path
D5/S1/Words/Complexity/MechanicalComplexityCharacterization.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.