Information Realization
Information, realizations, and a finite formal core.
Completion: Active development · Lean: Selected results recorded · Confidence: Recorded formal evidence
Before you start
Suggested background: Read the problem statement, recorded scope and open questions first. The program's definitions determine its subject prerequisites.
Recorded results and limits: The first formal block contains 58 theorem declarations across six production modules. The whole information program is not formalized.
Remaining work: Choose the next result beyond the checked linear repair and Haar contracts and retain their coefficient assumptions.
The background advice is an editorial starting point. The work itself states its prerequisites and hypotheses.
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Worked examples for this work
These introductory calculations lead into this work’s subject. The source and evidence links below retain the work’s recorded scope.
- 10. Find a kernel and its fibers · Terms and source routes
- 14. Separate averages and details · Terms and source routes
Complete demonstration with runnable code: Wavelets and polyphase transfer.
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Written proofs
Find the statement number or section in the reading files, then read its assumptions and argument. A claim map may cover only part of the written result.
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Lean
Start with the edition guide and the build instructions below. Check the correspondence records to see which written claims the Lean declarations cover. Source links lead to .lean files. PDF guides explain the formalization.
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Code
These links include code, examples, checks, or build tools. Read the edition guide for setup instructions and what each command does. All software is beta and work in progress.
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Evidence
- Completion, Lean coverage, confidence, and cited evidence
- Source-file receipt (identity and availability)
- All files in this source edition
The evidence records describe the reviews and runs completed for this edition.
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