trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Three-tree Paid Batch Phase

A once-paid fair-bit choice of a total tree controller has three exact batch phases.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH14
DOCUMENT LINKS0
THEOREM

Restricting a recipe does not increase excess

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Direct recorded relationships
Fair-prefix Samplers and Dyadic Tail CostsFair-prefix Samplers and DyadicTail CostsScale36 Actual Endpoint AcquisitionScale36 Actual EndpointAcquisitionNested CompensationNested CompensationThree-tree Paid Batch PhaseThree-tree Paid Batch PhaseFive-tree Paid Batch PhaseFive-tree Paid Batch Phase
Proof dependencyStructural affinityDocument link

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Documents & exposition

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
14
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/FibonacciAtomic/Dyadic/WhiteboxThreeBatchPhase
Repository path
D5/S3/Arith/FibonacciAtomic/Dyadic/WhiteboxThreeBatchPhase.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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.