trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Supported Probability Laws from Prefix Capacities

Actual forbidden-prefix trees admit supported probability laws with capacities normalized by their positive comb-flow lower bound.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Every actual prefix tree realizes the comb-normalized capacities

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Direct recorded relationships
Homogeneous Capacity and Forbidden-Prefix CombsHomogeneous Capacity andForbidden-Prefix CombsConstant Potential on a Restricted Prefix TreeConstant Potential on aRestricted Prefix TreeSupported Probability Laws from Prefix CapacitiesSupported Probability Laws fromPrefix Capacities
Proof dependencyStructural affinityDocument link

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Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Congruence/PrefixCapacityRealization
Repository path
D5/S3/Arith/Congruence/PrefixCapacityRealization.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.