statement
P4223
predicate
Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
All labels observed (14)
| Label | Occurrences |
|---|---|
| statement canonical | 141 |
| statedAs | 42 |
| stated | 18 |
| typicalStatement | 13 |
| positionStatement | 12 |
| statementAbout | 8 |
| statementContent | 7 |
| publicStatement | 4 |
| statementInformal | 4 |
| madeStatement | 3 |
| directorStatement | 2 |
| preludeStatement | 2 |
| statedInApology | 1 |
| typicalStatementForm | 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: statement
Generated description
Indicates that an entity makes, issues, or expresses a declarative assertion, claim, or remark about something.
Sample triples (258)
| Subject | Object |
|---|---|
| Dia do Fico | Dom Pedro refused to obey the Portuguese Cortes’ order to return to Lisbon ⓘ |
| Pythagorean theorem |
Pythagorean theorem
self-linksurface differs
ⓘ
surface form:
In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
|
| Banach inverse mapping theorem | If T:X→Y is a bijective bounded linear operator between Banach spaces, then T^{-1}:Y→X is bounded and linear via predicate surface "statedAs" ⓘ |
| principle of least action | physical trajectory makes the action stationary via predicate surface "statedAs" ⓘ |
| Fermat's Last Theorem | There are no three positive integers x, y, z that satisfy x^n + y^n = z^n for any integer n > 2 ⓘ |
| Fermat's little theorem | If p is a prime and a is an integer not divisible by p, then a^(p−1) ≡ 1 (mod p). ⓘ |
| Fermat's little theorem | For any integer a and prime p, a^p ≡ a (mod p). ⓘ |
| Fermat's theorem on sums of two squares | sum of two perfect squares via predicate surface "statementAbout" ⓘ |
| Fermat polygonal number theorem | every positive integer can be expressed as a sum of a fixed number of polygonal numbers of a given order ⓘ |
| Profumo affair | John Profumo misled the House of Commons about his relationship with Christine Keeler ⓘ |
| Profumo affair |
John Profumo
ⓘ
surface form:
John Profumo resigned from the government and Parliament in 1963
|
| Newton's third law of motion | For every action, there is an equal and opposite reaction via predicate surface "statedAs" ⓘ |
| Avogadro's law | Equal volumes of gases at the same temperature and pressure contain equal numbers of molecules via predicate surface "statedAs" ⓘ |
| Lagrange's theorem in group theory | For a finite group G and a subgroup H of G, the order of H divides the order of G ⓘ |
| Lagrange's four-square theorem | Every natural number can be expressed as the sum of four integer squares ⓘ |
| Poincaré recurrence theorem |
Poincaré recurrence theorem
self-linksurface differs
ⓘ
surface form:
In a measure-preserving dynamical system with finite total measure, almost every point of a measurable set returns arbitrarily close to its initial position infinitely often.
|
| Wiener–Khinchin theorem | the power spectral density of a wide-sense stationary process is the Fourier transform of its autocorrelation function ⓘ |
| Wiener–Khinchin theorem | the autocorrelation function of a wide-sense stationary process is the inverse Fourier transform of its power spectral density ⓘ |
| Cantor–Bernstein–Schröder theorem | If there exists an injective function from set A to set B and an injective function from set B to set A, then there exists a bijective function between A and B. ⓘ |
| Nyquist theorem | A band-limited continuous-time signal can be perfectly reconstructed from its samples if the sampling frequency is greater than twice the highest frequency present in the signal via predicate surface "statedAs" ⓘ |
| law of conservation of mass | mass is neither created nor destroyed in a closed system via predicate surface "statedAs" ⓘ |
| Alexandrov–Hausdorff theorem | Every analytic subset of a Polish space is the continuous image of Baire space ⓘ |
| Alexandrov–Hausdorff theorem | A subset of a Polish space is analytic if and only if it is the continuous image of Baire space ⓘ |
| third law of thermodynamics | The entropy of a perfect crystal approaches zero as its temperature approaches absolute zero. via predicate surface "statedAs" ⓘ |
|
Noether’s theorem in algebraic geometry (Noether’s AF+BG theorem)
surface form:
Noether’s AF+BG theorem
|
polynomials vanishing on the intersection of two plane curves via predicate surface "statementAbout" ⓘ |
|
Noether’s theorem in algebraic geometry (Noether’s AF+BG theorem)
surface form:
Noether’s AF+BG theorem
|
linear combinations of defining equations of curves via predicate surface "statementAbout" ⓘ |
| The Right of Equal Freedom | Every man has freedom to do all that he wills, provided he infringes not the equal freedom of any other man via predicate surface "statedAs" ⓘ |
| Malta Summit |
George H. W. Bush–Gorbachev summits
ⓘ
surface form:
Bush and Gorbachev declared that the era of U.S.–Soviet confrontation was over
|
| Lee Sedol | no longer felt he could be the absolute best because of AI via predicate surface "stated" ⓘ |
|
Weekend
surface form:
Weekend (1967 film)
|
announced as the end of cinema by Godard in publicity via predicate surface "directorStatement" ⓘ |
| Hasse principle | a Diophantine equation has a rational solution if and only if it has solutions over all completions of the rationals ⓘ |
| Anthony Darwin | expressed feeling betrayed by his parents after discovering the fraud via predicate surface "publicStatement" ⓘ |
| Anthony Darwin | stated that he had been led to believe his father was dead via predicate surface "publicStatement" ⓘ |
| Anthony Darwin | said he had no prior knowledge of the insurance fraud via predicate surface "publicStatement" ⓘ |
|
Theodore Sturgeon
surface form:
Sturgeon's Law
|
Ninety percent of everything is crud. ⓘ |
| Auslander–Buchsbaum formula |
Auslander–Buchsbaum formula
self-linksurface differs
ⓘ
surface form:
For a Noetherian local ring (R, m) and a finitely generated R-module M of finite projective dimension, pd_R(M) + depth_R(M) = depth(R).
|
| Joint Resolution of Congress for the recognition of the independence of the people of Cuba (1898) | that the United States disclaims any disposition or intention to exercise sovereignty, jurisdiction, or control over Cuba via predicate surface "stated" ⓘ |
| Joint Resolution of Congress for the recognition of the independence of the people of Cuba (1898) | that the United States asserts its determination to leave the government and control of the island to its people once pacification is accomplished via predicate surface "stated" ⓘ |
| Open-Closed Principle | software entities should be open for extension but closed for modification via predicate surface "statedAs" ⓘ |
| de Bruijn–Erdős theorem | Every infinite graph with finite chromatic number has a finite subgraph with the same chromatic number ⓘ |
| Cauchy interlacing theorem | eigenvalues of a k×k principal submatrix interlace those of the n×n matrix with n≥k via predicate surface "typicalStatement" ⓘ |
| Cauchy integral formula | If f is holomorphic on an open set containing a simple closed contour Γ and its interior, then for any z0 in the interior, f(z0) = (1/(2πi)) ∮_Γ f(z)/(z−z0) dz ⓘ |
| Constantinople Convention of 1888 |
Suez Canal
via predicate surface "stated"
ⓘ
surface form:
Suez Canal should never be subjected to blockade
|
| Constantinople Convention of 1888 | Suez Canal should not be subject to the exercise of the right of war via predicate surface "stated" ⓘ |
| Constantinople Convention of 1888 |
Suez Canal should not be subject to the exercise of the right of war
via predicate surface "stated"
ⓘ
surface form:
Suez Canal should not be subject to acts of hostility
|
| Constantinople Convention of 1888 |
Suez Canal
via predicate surface "stated"
ⓘ
surface form:
Suez Canal should not be subject to any act having for its object to obstruct free navigation
|
| generalized Riemann hypothesis | Dirichlet L-functions via predicate surface "statementAbout" ⓘ |
| generalized Riemann hypothesis | zeros of L-functions via predicate surface "statementAbout" ⓘ |
| uniformization theorem | Every simply connected Riemann surface is conformally equivalent to the Riemann sphere, the complex plane, or the unit disk. ⓘ |
| Dirichlet conditions | on any period the function has a finite number of discontinuities and extrema via predicate surface "typicalStatement" ⓘ |