[codex] Add finite product quotient layer#14
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Review Summary by QodoAdd finite product quotient layer for pairwise, multi-target, and ranking targets
WalkthroughsDescription• Add generic FiniteProductQuotient.lean module with product quotient maps - Defines productMap for two independent quotient maps - Proves product fiber invariance and factorization theorems - Handles fixed-left/fixed-right specializations • Implement product sample consistency and finite falsifiers - Same product-code label disagreements falsify product quotient rules - Componentwise multi-target signatures via product pairing • Add comparison observations and score-induced ranking - ComparisonObs structure for left item with two right items - rankByScore induces ranking comparisons from pairwise scores • Refactor FinitePairQuotient.lean to wrap generic product API - Changes pairQuotient from definition to abbreviation using productMap - Simplifies proofs by delegating to product layer theorems • Update documentation, verification checks, and theorem maps - Extends paper, proof spine, RAG guide, reviewer brief, and theorem map - Adds 37 new theorem checks to verification surface Diagramflowchart LR
A["productMap<br/>Q₁ Q₂"] --> B["ProductFiberInvariant<br/>same codes same target"]
B --> C["ruleFactorsThrough<br/>product"]
C --> D["ProductSampleConsistent<br/>finite falsifiers"]
A --> E["ComparisonObs<br/>left + two right"]
E --> F["rankByScore<br/>score-induced ordering"]
F --> G["ruleFactorsThrough<br/>comparison"]
C --> H["pairQuotient<br/>retrieval wrapper"]
I["FinitePairQuotient.lean"] --> H
H --> J["pairRuleFactorsThrough<br/>same_on_quotient_fibers"]
File Changes1. OrdvecFormalization/FiniteProductQuotient.lean
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Code Review by Qodo🐞 Bugs (0) 📘 Rule violations (0) 📎 Requirement gaps (0)
Great, no issues found!Qodo reviewed your code and found no material issues that require review |
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Code Review
This pull request introduces a new module, FiniteProductQuotient.lean, which formalizes generic product quotients, ranking, and comparison quotients in Lean 4. It refactors FinitePairQuotient.lean to act as a wrapper around this new generic API and updates the associated documentation and verification files. The reviewer feedback focuses on making the Lean 4 code more idiomatic and concise, specifically suggesting the reuse of the standard Prod.map function for productMap and simplifying the proofs of productMap_eq_iff and comparisonMap_eq_iff using the simplifier.
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Summary
FiniteProductQuotient.leanwith generic product maps, product fiber invariance, image/surjective factorization converses, fixed-left/fixed-right specialization, product sample consistency/falsifiers, finite product rule counts, multi-target component theorems, and score-induced comparison/ranking factorizationFinitePairQuotient.leanto wrap the generic product API while preserving the retrieval-facing pair namesValidation
make buildmake verifymake check-doc-namesmake auditmake lintgit diff --checklatexmk -pdf -interaction=nonstopmode -halt-on-error ordvec_formalization_paper.tex