trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Finite Moore-Penrose Inverse

The constructed finite Moore-Penrose inverse obeys all four equations and is unique.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES6
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Four derived Penrose equations

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Finite Moore-Penrose InverseFinite Moore-Penrose InverseFinite Synthesis Gram DistanceFinite Synthesis Gram DistanceFinite Sector Channel OptimalityFinite Sector ChannelOptimalityPassive Sector-Pair BoundPassive Sector-Pair BoundRectangular Variational BoundRectangular Variational BoundSchur Channel Upper BoundSchur Channel Upper BoundAntidistinguishabilityGramAntidistinguishabilityGram
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/Hilbert/FiniteMoorePenroseInverse
Repository path
D5/S3/Observer/Hilbert/FiniteMoorePenroseInverse.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.