hasProofMethod

P7024

predicate

Indicates that there exists a specific method or technique used to establish or demonstrate the validity of something (such as a statement, claim, or theorem).

Try in SPARQL

All labels observed (19)

Label	Occurrences
proofTechnique	48
hasProofMethod canonical	38
hasProofTechnique	28
proofMethod	28
canBeProvedBy	7
methodOfProof	7
proofMethods	7
proofType	6
proofMethodsInclude	5
laterProofMethod	4
alternativeProofMethod	3
hasMethodOfIdentification	3
isProvedUsing	3
originalProofMethod	3
hasProofSystem	2
VoisinProofMethod	1
hasProofType	1
hasStandardProofMethod	1
hasVerificationType	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: hasProofMethod

Generated description

Indicates that there exists a specific method or technique used to establish or demonstrate the validity of something (such as a statement, claim, or theorem).

Sample triples (196)

Subject	Object
Szekeres–Lindström theorem	combinatorial arguments via predicate surface "hasProofTechnique" ⓘ
Szekeres–Lindström theorem	extremal methods via predicate surface "hasProofTechnique" ⓘ
Banach–Steinhaus theorem	Baire category argument via predicate surface "proofTechnique" ⓘ
Steinhaus chessboard theorem	combinatorial topology ⓘ
Steinhaus chessboard theorem	parity arguments on adjacency graphs ⓘ
Banach–Tarski paradox	group actions via predicate surface "proofTechnique" ⓘ
Banach–Tarski paradox	equidecomposability via predicate surface "proofTechnique" ⓘ
Banach–Tarski paradox	choice of representatives from orbits using the axiom of choice via predicate surface "proofTechnique" ⓘ
Thales’ theorem	can be proved using similar triangles via predicate surface "proofMethod" ⓘ
Thales’ theorem	can be proved using properties of inscribed angles via predicate surface "proofMethod" ⓘ
Young's inequality	Jensen inequality ⓘ surface form: Jensen's inequality
Young's inequality	tangent line method for convex functions ⓘ
Banach–Mazur theorem	functional analytic methods via predicate surface "hasProofTechnique" ⓘ
Banach–Mazur theorem	use of dual spaces and evaluation maps via predicate surface "hasProofTechnique" ⓘ
Dirichlet's theorem on arithmetic progressions	analytic methods via predicate surface "methodOfProof" ⓘ
Dirichlet's theorem on arithmetic progressions	use of L-series and complex analysis via predicate surface "methodOfProof" ⓘ
Hermite–Minkowski theorem	geometric arguments in Euclidean space ⓘ
Hermite–Minkowski theorem	volume estimates of convex symmetric bodies ⓘ
Cook–Levin theorem	polynomial-time encoding of computations into Boolean formulas via predicate surface "proofTechnique" ⓘ
linear logic	sequent calculus via predicate surface "hasProofSystem" ⓘ
linear logic	natural deduction via predicate surface "hasProofSystem" ⓘ
open mapping theorem	Baire category theorem via predicate surface "proofTechnique" NERFINISHED ⓘ
Chinese remainder theorem	constructive proof using modular inverses via predicate surface "hasProofTechnique" ⓘ
Chinese remainder theorem	proof using ring isomorphisms via predicate surface "hasProofTechnique" ⓘ
Chinese remainder theorem	proof using Bezout coefficients via predicate surface "hasProofTechnique" ⓘ
Erdős–Ko–Rado theorem	shifting technique ⓘ
Erdős–Ko–Rado theorem	compression method ⓘ
Erdős–Ko–Rado theorem	algebraic methods ⓘ
Erdős–Ko–Rado theorem	graph-theoretic methods ⓘ
Erdős–Gallai theorem	combinatorial arguments via predicate surface "hasProofTechnique" ⓘ
Erdős–Gallai theorem	induction on number of vertices via predicate surface "hasProofTechnique" ⓘ
Family Π	analysis of shared errors and unique readings via predicate surface "hasMethodOfIdentification" ⓘ
Family Π	statistical comparison of variant units via predicate surface "hasMethodOfIdentification" ⓘ
Chevalley–Warning theorem	combinatorial counting argument via predicate surface "hasProofTechnique" ⓘ
Chevalley–Warning theorem	use of polynomial identities over finite fields via predicate surface "hasProofTechnique" ⓘ
Sylvester–Gallai theorem	combinatorial arguments via predicate surface "hasProofTechnique" ⓘ
Sylvester–Gallai theorem	geometric arguments via predicate surface "hasProofTechnique" ⓘ
Rice's theorem	reduction from the halting problem via predicate surface "proofTechnique" ⓘ
Rice's theorem	diagonalization via predicate surface "proofTechnique" ⓘ
Lipton–Tarjan separator theorem	planar embedding arguments via predicate surface "proofTechnique" ⓘ
Lipton–Tarjan separator theorem	breadth-first search layering via predicate surface "proofTechnique" ⓘ
Lipton–Tarjan separator theorem	cycle separators via predicate surface "proofTechnique" ⓘ
positive mass theorem	minimal surface techniques via predicate surface "originalProofMethod" ⓘ
positive mass theorem	spinor methods via predicate surface "alternativeProofMethod" ⓘ
Cauchy's theorem in group theory	group action methods via predicate surface "hasProofTechnique" ⓘ
Cauchy's theorem in group theory	orbit-stabilizer arguments via predicate surface "hasProofTechnique" ⓘ
Cauchy's theorem in group theory	counting arguments in finite groups via predicate surface "hasProofTechnique" ⓘ
Bendixson–Dulac criterion	Green's theorem via predicate surface "proofTechnique" NERFINISHED ⓘ
Bendixson–Dulac criterion	integral of divergence over a region via predicate surface "proofTechnique" ⓘ
Cayley–Hamilton theorem	algebraic methods via predicate surface "proofMethods" ⓘ