Alphabeta MathHow 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.
A quasi-affine algebraic set
Definition
Let be an algebraically closed field. A quasi-affine algebraic set over is an open subset of an affine algebraic set in the Zariski topology.
Thus every affine algebraic set is quasi-affine, but a quasi-affine algebraic set need not be closed in any ambient affine space.
Depends on
Used by
Nothing in the library uses this result yet.
Dependency tree · two levels
3 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.
Sources
- J. S. Milne, Algebraic Geometry, Chapter 3e (standard reference, not scraped)
- Donu Arapura, Notes on Basic Algebraic Geometry, affine-open terminology in Chapter 1 (standard reference, not scraped)