trureturingGitHub MATHEMATICAL ATLAS

Rewriting / CONCEPT

Relative Identity Refinement

A finer readout quotient maps uniquely and surjectively onto every factored coarse quotient.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES4
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Refinement induces the canonical quotient surjection

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Relative Identity RefinementRelative Identity RefinementGlobal, Discriminant, and Split RelationsGlobal, Discriminant, and SplitRelationsCompatible Precision Tower MonotonicityCompatible Precision TowerMonotonicityKernel Relation InclusionKernel Relation InclusionPredictive Completion under Observation RefinementPredictive Completion underObservation Refinement
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S0
Domain
Rewriting
Node ID
D5/S0/Rewriting/Quotients/RelativeIdentityRefinement
Repository path
D5/S0/Rewriting/Quotients/RelativeIdentityRefinement.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.