trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Lower Energy of the Original Response Adjoint

The unchanged original response adjoint has a quantitative positive weighted-square energy, using the original pointwise affine defect and original weights.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS0
THEOREM

Explicit lower bound delta squared over a collision-aware quadratic

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The Original Partial-Cell ProjectionThe Original Partial-CellProjectionAdjoint of the Original ResponseAdjoint of the OriginalResponseAffine Defect of the Original Mobius Floor ResponseAffine Defect of the OriginalMobius Floor ResponseLower Energy of the Original Response AdjointLower Energy of the OriginalResponse Adjoint
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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Robin/OriginalResidualResponseAdjointEnergy
Repository path
D5/S3/Arith/Robin/OriginalResidualResponseAdjointEnergy.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.