trureturingGitHub MATHEMATICAL ATLAS

Tower / CONCEPT

Quadratic Fixed Point

A nonzero real satisfies x^2 = x + 1 exactly when it satisfies x = 1 + 1/x.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
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THEOREM

Quadratic and reciprocal fixed-point forms

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Quadratic Fixed PointQuadratic Fixed PointGolden Reciprocal Fixed Point UniquenessGolden Reciprocal Fixed PointUniqueness
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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S0
Domain
Tower
Node ID
D5/S0/Tower/QuadraticFixedPoint
Repository path
D5/S0/Tower/QuadraticFixedPoint.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.