relatedTheorem
P49212
predicate
Indicates that one theorem is connected to another through a logical, thematic, or derivational relationship.
All labels observed (4)
| Label | Occurrences |
|---|---|
| relatedTheorem canonical | 12 |
| structureTheorem | 2 |
| theoremEquivalentTo | 1 |
| theoremInvolves | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: relatedTheorem
Generated description
Indicates that one theorem is connected to another through a logical, thematic, or derivational relationship.
Sample triples (16)
| Subject | Object |
|---|---|
| PCP theorem | IP equals PSPACE ⓘ |
| PCP theorem | MIP equals NEXP ⓘ |
| Dehn surgery |
Dehn surgery
self-linksurface differs
ⓘ
surface form:
Lickorish–Wallace theorem
|
| Dehn surgery |
Thurston hyperbolization theorem
ⓘ
surface form:
Thurston hyperbolic Dehn surgery theorem
|
| Norton equivalent circuit | Thevenin’s theorem ⓘ |
| Sobolev spaces |
Sobolev inequality
ⓘ
surface form:
Sobolev embedding theorem
|
| Sobolev spaces | Rellich–Kondrachov compactness theorem ⓘ |
| Sobolev spaces | Poincaré inequality ⓘ |
| Sobolev spaces |
Gagliardo–Nirenberg interpolation inequalities
ⓘ
surface form:
Gagliardo–Nirenberg interpolation inequality
|
| Vladimir Kotelnikov | Nyquist–Shannon sampling theorem via predicate surface "theoremEquivalentTo" NERFINISHED ⓘ |
| Artinian ring | every commutative Artinian ring is a finite direct product of Artinian local rings via predicate surface "structureTheorem" ⓘ |
| Artinian ring | every Artinian principal ideal ring is a finite direct product of Artinian principal ideal local rings via predicate surface "structureTheorem" ⓘ |
| Clifford’s theorem | Riemann–Roch theorem NERFINISHED ⓘ |
| Clifford’s theorem | Noether’s theorem on canonical curves NERFINISHED ⓘ |
| Clifford’s theorem | Brill–Noether theorem NERFINISHED ⓘ |
| Miquel circle | Miquel theorem for quadrilaterals via predicate surface "theoremInvolves" NERFINISHED ⓘ |