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.
What this page does not prove about change of base
Remark
This page proves the basic change-of-base construction on enriched categories, enriched functors, and enriched natural transformations, and it isolates the underlying-category functor as an instance of it (The underlying ordinary category is change of base along the underlying-hom functor).
It does not develop the broader 2-categorical theory of monoidal categories and their adjunctions that Kelly explicitly declines in the source passage. So no claim is made here about a full 2-category of monoidal bases or a deeper change-of-base calculus beyond the concrete constructions already written.
Depends on
Used by
Nothing in the library uses this result yet.
Dependency tree · two levels
4 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
- G. M. Kelly, Basic Concepts of Enriched Category Theory, Introduction §(iii) (standard reference, not scraped)