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Entropy / CONCEPT

A decrease between orders one quarter and one half

Powered binary Renyi entropy can decrease as its positive order increases.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

The monotonicity proposition is false

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Binary Renyi combiningBinary Renyi combiningA decrease between orders one quarter and one halfA decrease between orders onequarter and one half
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Certified topology / DOWNSTREAM

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None recorded in this release.

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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Entropy
Node ID
D5/S3/Entropy/RenyiCombining/BinaryRenyiPowerMonotonicityRefutation
Repository path
D5/S3/Entropy/RenyiCombining/BinaryRenyiPowerMonotonicityRefutation.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.