trureturingGitHub MATHEMATICAL ATLAS

Asymptotics / CONCEPT

Least Nontrivial Metallic Value

The golden ratio uniquely minimizes the positive integer members of the metallic family.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The golden ratio is the unique least nontrivial value

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Direct recorded relationships
Metallic FamilyMetallic FamilyLeast Nontrivial Metallic ValueLeast Nontrivial Metallic ValueContinued-Fraction Tails and Beatty RoundingContinued-Fraction Tails andBeatty Rounding
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S0
Domain
Asymptotics
Node ID
D5/S0/Asymptotics/MetallicMinimum
Repository path
D5/S0/Asymptotics/MetallicMinimum.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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.