Triple
T6929718
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cantor–Bernstein–Schröder theorem |
E160401
|
entity |
| Predicate | generalFormulation |
P28574
|
FINISHED |
| Object | For sets A and B, if there exists an injection f:A→B and an injection g:B→A, then there exists a bijection h:A↔B. |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
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.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: For sets A and B, if there exists an injection f:A→B and an injection g:B→A, then there exists a bijection h:A↔B. | Statement: [Cantor–Bernstein–Schröder theorem, generalFormulation, For sets A and B, if there exists an injection f:A→B and an injection g:B→A, then there exists a bijection h:A↔B.]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: generalFormulation Context triple: [Cantor–Bernstein–Schröder theorem, generalFormulation, For sets A and B, if there exists an injection f:A→B and an injection g:B→A, then there exists a bijection h:A↔B.]
-
A.
questionFormulation
Indicates that one entity formulates, poses, or expresses a question directed toward another entity or context.
-
B.
hasFormulation
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
-
C.
standardFormulation
chosen
Indicates that something is expressed or represented in a conventional, officially accepted, or commonly used form or version.
-
D.
generalizedForm
Indicates that one entity is a more abstract, generalized version or broader form of another entity.
-
E.
general
Indicates that one entity has a broad, non-specific, or overarching relationship or association with another entity.
- F. None of above.
Provenance (3 batches)
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_69c6884e15208190b9e91487eaafcf85 |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6da1f5fcc8190b43f53f90fc1821c |
completed | March 27, 2026, 7:27 p.m. |
| PD | Predicate disambiguation | batch_69c6d7bb577c81908ee8b415b4281f3d |
completed | March 27, 2026, 7:17 p.m. |
Created at: March 27, 2026, 2:27 p.m.