trureturingGitHub MATHEMATICAL ATLAS

FixedPoints / CONCEPT

Golden Reciprocal Fixed Point Uniqueness

The displayed radical is a positive fixed point of the reciprocal residual map, and it is the unique positive fixed point.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The golden ratio is the unique positive fixed point

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Golden Ratio IdentitiesGolden Ratio IdentitiesGolden Reciprocal Fixed PointGolden Reciprocal Fixed PointQuadratic Fixed PointQuadratic Fixed PointGolden Reciprocal Fixed Point UniquenessGolden Reciprocal Fixed PointUniqueness
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S1
Domain
FixedPoints
Node ID
D5/S1/FixedPoints/Algebraic/GoldenFixedPoint
Repository path
D5/S1/FixedPoints/Algebraic/GoldenFixedPoint.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.