trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Three-Saturation of a Pure Cubic Order

Trace integrality excludes denominator three in a pure cubic suborder.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Integral elements with a triple in the order

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Direct recorded relationships
A Pure Cubic SuborderA Pure Cubic SuborderThree-Saturation of a Pure Cubic OrderThree-Saturation of a PureCubic OrderMixed Pure Cubic Integer RingMixed Pure Cubic Integer RingSimple-Prime Saturation of a Pure Cubic OrderSimple-Prime Saturation of aPure Cubic OrderSquarefree Pure Cubic Integer RingSquarefree Pure Cubic IntegerRing
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Lattices/PureCubicThreeSaturation
Repository path
D5/S3/Arith/Lattices/PureCubicThreeSaturation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.