trureturingGitHub MATHEMATICAL ATLAS

Depth / CONCEPT

Irrational Slope Faithfulness

Irrational slopes faithfully encode integer pairs; the golden encoding also separates distinct labels within a finite horizontal precision budget.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Every irrational slope is faithful

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Direct recorded relationships
The Effective Hurwitz Bound at the Golden RatioThe Effective Hurwitz Bound atthe Golden RatioIrrational Slope FaithfulnessIrrational Slope Faithfulness
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

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LIBRARY / RELEASE VERSIONS

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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
Depth
Node ID
D5/S1/Depth/ContinuedFractions/IrrationalSlopeFaithfulness
Repository path
D5/S1/Depth/ContinuedFractions/IrrationalSlopeFaithfulness.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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.