coreCondition
P19924
predicate
Indicates that something serves as the primary or fundamental condition that must hold for a situation, process, or relationship to apply.
All labels observed (16)
| Label | Occurrences |
|---|---|
| domainCondition | 43 |
| conditionFor | 30 |
| coreRequirement | 28 |
| equivalentCondition | 24 |
| givesConditionFor | 14 |
| coreCondition canonical | 12 |
| equilibriumCondition | 10 |
| definitionCondition | 8 |
| stabilityCondition | 5 |
| coreCriterion | 4 |
| definingCondition | 3 |
| requiresConditionOn | 3 |
| theoreticalCondition | 3 |
| الشرط_الأساسي | 2 |
| matrixCondition | 1 |
| unitCondition | 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: coreCondition
Generated description
Indicates that something serves as the primary or fundamental condition that must hold for a situation, process, or relationship to apply.
Sample triples (191)
| Subject | Object |
|---|---|
| Libya to respond effectively to extradition requests for suspects | improvement of Libya’s international relations via predicate surface "conditionFor" ⓘ |
| Libya to respond effectively to extradition requests for suspects | lifting or easing of certain international sanctions via predicate surface "conditionFor" ⓘ |
| Cohen–Macaulay ring | every system of parameters is an R-regular sequence via predicate surface "equivalentCondition" ⓘ |
| Cohen–Macaulay ring | depth of localizations at all prime ideals equals their Krull dimension via predicate surface "equivalentCondition" ⓘ |
| Cauchy’s mean value theorem | functions defined on a closed interval [a,b] via predicate surface "domainCondition" ⓘ |
| Cauchy’s mean value theorem | functions continuous on [a,b] via predicate surface "domainCondition" ⓘ |
| Cauchy’s mean value theorem | functions differentiable on (a,b) via predicate surface "domainCondition" ⓘ |
| Rouché's theorem | |f(z) - g(z)| < |f(z)| on the contour ⓘ |
| Cauchy completeness | every Cauchy filter converges (in uniform spaces) via predicate surface "equivalentCondition" ⓘ |
| Galois extension | the number of K-embeddings of the extension into an algebraic closure equals the degree of the extension via predicate surface "equivalentCondition" ⓘ |
| Galois extension | the fixed field of the Galois group equals the base field via predicate surface "equivalentCondition" ⓘ |
| Deuteronomy 14:28–29 | blessing of the LORD in all work of the hands via predicate surface "conditionFor" ⓘ |
| Gun-Free Schools Act of 1994 | receipt of certain federal education funds via predicate surface "conditionFor" ⓘ |
|
Liouville's theorem
surface form:
Liouville's theorem (complex analysis)
|
function is entire via predicate surface "domainCondition" ⓘ |
|
Liouville's theorem
surface form:
Liouville's theorem (complex analysis)
|
function is defined on the whole complex plane via predicate surface "domainCondition" ⓘ |
| ولي عهد المملكة العربية السعودية | أن يكون من أبناء الملك المؤسس عبدالعزيز بن عبدالرحمن الفيصل آل سعود وذريتهم via predicate surface "الشرط_الأساسي" ⓘ |
| ولي عهد المملكة العربية السعودية | أن تتوفر فيه الشروط المقررة في النظام الأساسي للحكم via predicate surface "الشرط_الأساسي" ⓘ |
| JJDPA | deinstitutionalization of status offenders via predicate surface "coreRequirement" ⓘ |
| JJDPA | adult jail and lockup removal via predicate surface "coreRequirement" ⓘ |
| JJDPA | sight and sound separation of juveniles from adult inmates via predicate surface "coreRequirement" ⓘ |
| JJDPA | disproportionate minority contact reduction via predicate surface "coreRequirement" ⓘ |
|
Whitehead product in homotopy theory
surface form:
Whitehead product
|
α ∈ π_m(X), β ∈ π_n(X) via predicate surface "domainCondition" ⓘ |
| Cheeger–Gromov compactness theorem | existence of convergent subsequence of Riemannian manifolds via predicate surface "givesConditionFor" ⓘ |
| Cheeger–Gromov compactness theorem | Gromov–Hausdorff precompactness via predicate surface "givesConditionFor" ⓘ |
| Cheeger–Gromov compactness theorem | smooth Cheeger–Gromov convergence via predicate surface "givesConditionFor" ⓘ |
| Lax–Wendroff method | CFL condition via predicate surface "stabilityCondition" ⓘ |
| Evidence Code § 702 | admissibility of witness testimony via predicate surface "conditionFor" ⓘ |
| FEI recognition of events and series | use of FEI name and logo in event promotion via predicate surface "conditionFor" ⓘ |
| FEI recognition of events and series | inclusion in FEI communications and publications via predicate surface "conditionFor" ⓘ |
| T1 separation axiom | Every singleton set {x} is closed in the space. via predicate surface "equivalentCondition" ⓘ |
| T1 separation axiom | Finite subsets of the space are closed. via predicate surface "equivalentCondition" ⓘ |
| T1 separation axiom | For each point x and each point y ≠ x, there exists an open set containing x but not y. via predicate surface "equivalentCondition" ⓘ |
|
Kolmogorov space (T0 space)
surface form:
Kolmogorov space
|
specialization preorder is a partial order via predicate surface "equivalentCondition" ⓘ |
| Bloch theorem | unit disk in the complex plane via predicate surface "domainCondition" ⓘ |
| distortion theorem | unit disk via predicate surface "domainCondition" ⓘ |
| distortion theorem | open unit disk via predicate surface "domainCondition" ⓘ |
| Arzelà–Ascoli theorem | domain is compact via predicate surface "domainCondition" ⓘ |
| Arzelà–Ascoli theorem | domain is a compact metric space via predicate surface "domainCondition" ⓘ |
| Little Treaty of Versailles | international recognition of Poland via predicate surface "conditionFor" ⓘ |
| Corona theorem | bounded analytic functions f_1,...,f_n with no common zero on the unit disk ⓘ |
| Helmholtz free energy | ΔF = 0 at equilibrium for reversible processes at constant T and V via predicate surface "equilibriumCondition" ⓘ |