trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

The geometric frozen-run bound

The sum of actual frozen run counts is bounded by the number of individual extrema.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES3
PROOF DEPTH8
DOCUMENT LINKS0
THEOREM

The actual slab count

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Direct recorded relationships
Charging actual slab types to individual extremum cellsCharging actual slab types toindividual extremum cellsActual slab coverageActual slab coverageExistence of minimum and maximum slab typesExistence of minimum andmaximum slab typesThe geometric frozen-run boundThe geometric frozen-run boundMiuraEqualityNeutralMiuraEqualityNeutralMiuraEqualityOrderMiuraEqualityOrderMiuraEqualitySaturationMiuraEqualitySaturation
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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
8
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Geometry/MiuraSlabRunBound
Repository path
D5/S3/Combinatorics/Geometry/MiuraSlabRunBound.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.