trureturingGitHub MATHEMATICAL ATLAS

Depth / CONCEPT

Quadratic Invariants Along Complete Quotients

Inverse-step pullbacks make successive quadratic coefficients cross over while preserving one discriminant throughout the complete-quotient chain.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

Quadratic chains share coefficient and discriminant invariants

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Discriminants Under Mobius PullbackDiscriminants Under MobiusPullbackBounded Complete Quotients Force PeriodicityBounded Complete QuotientsForce PeriodicityQuadratic Invariants Along Complete QuotientsQuadratic Invariants AlongComplete Quotients
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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S1
Domain
Depth
Node ID
D5/S1/Depth/ContinuedFractions/CompleteQuotientRecursion
Repository path
D5/S1/Depth/ContinuedFractions/CompleteQuotientRecursion.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.