trureturingGitHub MATHEMATICAL ATLAS

Deficit / CONCEPT

Golden Substitution-Start Asymptotic Slope

The substitution-start ratios converge to the golden ratio.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH10
DOCUMENT LINKS1
THEOREM

The substitution-start sequence has golden asymptotic slope

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Words: Golden DensityWords: Golden DensityPointwise Substitution Fixed Point of the Golden WordPointwise Substitution FixedPoint of the Golden WordGolden Substitution-Start Asymptotic SlopeGolden Substitution-StartAsymptotic Slope
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Lean sourceResearch workspace
Status
Closed
Depth
10
Layer
D5/S1
Domain
Deficit
Node ID
D5/S1/Deficit/Beatty/GoldenSubstStartAsymptoticSlope
Repository path
D5/S1/Deficit/Beatty/GoldenSubstStartAsymptoticSlope.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.