trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Equal Sorting Classes and Outputs

The stacks avoiding 312, 31-2 and 3-12 sort the same permutations and agree on their outputs.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

Equal sorting classes and outputs

RELATIONSHIP ATLAS

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Direct recorded relationships
Different Push Decisions Force 231Different Push Decisions Force231Equal Sorting Classes and OutputsEqual Sorting Classes andOutputs
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

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None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/VincularStack/VincularStackThree
Repository path
D5/S3/Combinatorics/VincularStack/VincularStackThree.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

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.