isToolOf
P24520
predicate
Indicates that one entity functions as an instrument or means used by another entity to perform tasks or achieve goals.
All labels observed (18)
| Label | Occurrences |
|---|---|
| toolFor | 77 |
| isToolOf canonical | 7 |
| instrumentOf | 4 |
| hornUsedFor | 3 |
| notableArtifactUsed | 3 |
| usedAsToolBy | 3 |
| usedAsToolFor | 3 |
| weaponOrTool | 3 |
| commonUtensil | 2 |
| requiresKitchenTool | 2 |
| artifactUsed | 1 |
| extrusionTool | 1 |
| hasWeavingTool | 1 |
| rowingTool | 1 |
| toolOf | 1 |
| toolOfInfluence | 1 |
| traditionalUtensilForPounding | 1 |
| wasToolFor | 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: isToolOf
Generated description
Indicates that one entity functions as an instrument or means used by another entity to perform tasks or achieve goals.
Sample triples (115)
| Subject | Object |
|---|---|
| Borel–Weil theorem | classification of irreducible representations of compact Lie groups via predicate surface "toolFor" ⓘ |
| Borel–Weil theorem | geometric representation theory via predicate surface "toolFor" ⓘ |
| Leray–Schauder degree | nonlinear operator equations via predicate surface "toolFor" ⓘ |
| Leray–Schauder degree | integral equations via predicate surface "toolFor" ⓘ |
| Leray–Schauder degree | nonlinear boundary value problems via predicate surface "toolFor" ⓘ |
| de Rham cohomology | classification of smooth manifolds up to homotopy type via predicate surface "toolFor" ⓘ |
| de Rham cohomology | study of integration of differential forms via predicate surface "toolFor" ⓘ |
| de Rham cohomology | formulation of Stokes theorem in cohomological terms via predicate surface "toolFor" ⓘ |
| Hamiltonian optics | deriving optical invariants via predicate surface "toolFor" ⓘ |
| Hamiltonian optics | analyzing stability of optical resonators via predicate surface "toolFor" ⓘ |
| Hamiltonian optics | designing aplanatic optical systems via predicate surface "toolFor" ⓘ |
| Missy Armitage | silver spoon via predicate surface "weaponOrTool" ⓘ |
| Missy Armitage | teacup via predicate surface "weaponOrTool" ⓘ |
| Lasker–Noether theorem on primary decomposition | analyzing structure of ideals via predicate surface "toolFor" ⓘ |
| Lasker–Noether theorem on primary decomposition | studying local properties of schemes via predicate surface "toolFor" ⓘ |
| Lasker–Noether theorem on primary decomposition | computing associated primes via predicate surface "toolFor" ⓘ |
| Krull–Gabriel dimension | analyzing composition series of objects in abelian categories via predicate surface "toolFor" ⓘ |
| Krull–Gabriel dimension | stratifying module categories by complexity via predicate surface "toolFor" ⓘ |
| Yoneda lemma | defining limits and colimits via representable functors via predicate surface "toolFor" ⓘ |
| Yoneda lemma | studying adjoint functors via predicate surface "toolFor" ⓘ |
| Yoneda lemma | categorical algebra via predicate surface "toolFor" ⓘ |
| Yoneda lemma | topos theory via predicate surface "toolFor" ⓘ |
| Yoneda lemma | homological algebra via predicate surface "toolFor" ⓘ |
| Yoneda lemma | algebraic geometry via functor of points via predicate surface "toolFor" ⓘ |
| Morawetz inequalities | analysis of obstacle scattering via predicate surface "toolFor" ⓘ |
| Morawetz inequalities | black hole spacetime wave analysis via predicate surface "toolFor" ⓘ |
| Morawetz inequalities | stability analysis of solutions via predicate surface "toolFor" ⓘ |
| Combinatorial Nullstellensatz | proving combinatorial identities via predicate surface "toolFor" ⓘ |
| Combinatorial Nullstellensatz | bounding sizes of combinatorial configurations via predicate surface "toolFor" ⓘ |
| Combinatorial Nullstellensatz | establishing existence of transversals via predicate surface "toolFor" ⓘ |
| Combinatorial Nullstellensatz | coloring problems in graphs and hypergraphs via predicate surface "toolFor" ⓘ |
| Thom transversality theorem | classification of singularities of smooth maps via predicate surface "toolFor" ⓘ |
| Thom transversality theorem | proofs of genericity of Morse functions via predicate surface "toolFor" ⓘ |
| Thom transversality theorem | intersection theory on manifolds via predicate surface "toolFor" ⓘ |
| East German football league system | state sports policy via predicate surface "wasToolFor" ⓘ |
| Linton Heathcliff | Heathcliff via predicate surface "usedAsToolBy" NERFINISHED ⓘ |
| Question Hour | legislative oversight of the executive ⓘ |
| van der Corput method for estimating exponential sums | proving equidistribution of polynomial sequences modulo 1 via predicate surface "toolFor" ⓘ |
| van der Corput method for estimating exponential sums | bounding error terms in asymptotic formulas via predicate surface "toolFor" ⓘ |
| van der Corput method for estimating exponential sums | estimating exponential integrals via discretization via predicate surface "toolFor" ⓘ |
| crème brûlée | kitchen blowtorch via predicate surface "requiresKitchenTool" ⓘ |
| crème brûlée | oven via predicate surface "requiresKitchenTool" ⓘ |
| Zassenhaus filtration | constructing associated graded Lie rings of groups via predicate surface "toolFor" ⓘ |
| Zassenhaus filtration | analyzing generators and relations in pro-p groups via predicate surface "toolFor" ⓘ |
| Separatist Alliance | Sith via predicate surface "usedAsToolBy" NERFINISHED ⓘ |
| Separatist Alliance | Darth Sidious via predicate surface "usedAsToolBy" NERFINISHED ⓘ |
| Herbrand quotient | relating arithmetic invariants to cohomology groups via predicate surface "toolFor" ⓘ |
| Intha people | single oar via predicate surface "rowingTool" ⓘ |
| Cauchy–Pompeiu formula | solving inhomogeneous Cauchy–Riemann equations via predicate surface "toolFor" ⓘ |
| Cauchy–Pompeiu formula | representation of non-holomorphic functions via predicate surface "toolFor" ⓘ |