How statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced — the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted — a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated — a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
The term “rectifiable” for Jordan measurable sets is unrelated to rectifiable curves
Remarks
Some multivariable-analysis texts, including Munkres, call a bounded set rectifiable when its boundary has content zero. By A bounded set in is Jordan measurable iff its boundary is null, equivalently of content zero, these are exactly the bounded Jordan measurable sets of Jordan inner and outer content and Jordan measurable bounded sets in .
This terminology is unrelated to rectifiable curves and does not assert finite curve length. It creates no dependency on arc length.
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Used by
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Dependency tree · next 3 levels
Direct dependencies and their dependencies through the next three levels: 96 results over 22 levels. An arrow runs from a result to what uses it, and this result sits at the bottom with a heavier outline. Click the chart to enlarge it.
Sources
- J. Munkres, Analysis on Manifolds, Jordan content terminology (standard reference, not scraped)