trureturingGitHub MATHEMATICAL ATLAS

Recurrence / CONCEPT

Continued-Fraction Tails and Beatty Rounding

Positive continued-fraction tails need not round down to their asymptotic Beatty line.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS0
THEOREM

The generalized rounding assertion is false

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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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None recorded in this release.

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S1
Domain
Recurrence
Node ID
D5/S1/Recurrence/ContinuedFractionTailBeattyRefutation
Repository path
D5/S1/Recurrence/ContinuedFractionTailBeattyRefutation.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.