Triple
T32607274
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Shephard’s lemma |
E833554
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | result in duality theory |
C15240
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: result in duality theory Context triple: [Shephard’s lemma, instanceOf, result in duality theory]
-
A.
duality theory
Duality theory is a conceptual framework in mathematics and related fields that studies pairs of structures or problems that are interrelated in such a way that results and properties in one can be systematically translated into corresponding results and properties in the other.
-
B.
result in convex analysis
chosen
In convex analysis, a result is a formally stated and proven fact—such as a theorem, lemma, or proposition—that characterizes properties or relationships of convex sets, convex functions, or related optimization structures.
-
C.
result in lattice theory
A result in lattice theory is a proven theorem or proposition that describes structural, order-theoretic, or algebraic properties of lattices and their related constructs.
-
D.
result in order theory
A result in order theory is a formally proven statement or theorem about the properties, structures, or relationships of ordered sets and order-preserving mappings.
-
E.
result in proof theory
In proof theory, a result is a formally derived conclusion or theorem obtained from a given set of axioms and inference rules within a logical system.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69f3492bfa648190b6ae472074634e29 |
completed | April 30, 2026, 12:21 p.m. |
Created at: May 1, 2026, 1:05 a.m.