trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Incompatible Coupled Seven Budgets

The two displayed prime-palette envelopes cannot both reach one when their low allocations share one unit pool and their high allocations share a separate unit pool. All four allocations may be real.

Closed Authored exposition
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DOCUMENT LINKS1
THEOREM

Every partition has an obstruction

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Incompatible Coupled Seven BudgetsIncompatible Coupled SevenBudgets
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Certified topology / UPSTREAM

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None recorded in this release.

Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Covering/CoupledSevenBudgetRefutation
Repository path
D5/S3/Arith/Covering/CoupledSevenBudgetRefutation.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.