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).

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All labels observed (19)

Label Occurrences
proofTechnique 48
hasProofMethod canonical 38
hasProofTechnique 28

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
Fermat's theorem on sums of two squares algebraic number theory via predicate surface "proofTechnique" ⓘ
Fermat's theorem on sums of two squares geometry of numbers via predicate surface "proofTechnique" ⓘ
Halting problem diagonalization via predicate surface "proofTechnique" ⓘ
Halting problem self-reference via predicate surface "proofTechnique" ⓘ
Halting problem reduction ad absurdum via predicate surface "proofTechnique" ⓘ
Lagrange's theorem in group theory partition of the group into left cosets of a subgroup via predicate surface "proofMethod" ⓘ
Cantor–Bernstein–Schröder theorem construction via chains of elements under injections via predicate surface "hasStandardProofMethod" ⓘ
Conway’s soldiers potential function argument via predicate surface "proofMethod" ⓘ
Conway’s soldiers invariant based on weights assigned to board positions via predicate surface "proofMethod" ⓘ
Vandermonde's identity combinatorial counting argument via predicate surface "canBeProvedBy" ⓘ
Vandermonde's identity generating functions via predicate surface "canBeProvedBy" ⓘ
Vandermonde's identity algebraic manipulation of binomial theorem via predicate surface "canBeProvedBy" ⓘ
Vandermonde's identity induction on r via predicate surface "canBeProvedBy" ⓘ
Cauchy–Kovalevskaya theorem power series expansion via predicate surface "proofTechnique" ⓘ
Cauchy–Kovalevskaya theorem majorant series method via predicate surface "proofTechnique" ⓘ
quadratic reciprocity law Gauss sum via predicate surface "proofMethodsInclude" ⓘ
surface form: Gauss sums
quadratic reciprocity law genus theory via predicate surface "proofMethodsInclude" ⓘ
quadratic reciprocity law global class field theory via predicate surface "proofMethodsInclude" ⓘ
surface form: class field theory
quadratic reciprocity law Galois theory via predicate surface "proofMethodsInclude" ⓘ
quadratic reciprocity law lattice point counting via predicate surface "proofMethodsInclude" ⓘ
Hasse bound for elliptic curves uses properties of L-functions and complex analysis in Hasse's original proof via predicate surface "proofMethod" ⓘ
de Bruijn–Erdős theorem compactness argument ⓘ
de Bruijn–Erdős theorem ultrafilter techniques ⓘ
de Bruijn–Erdős theorem topological methods ⓘ
de Bruijn–Erdős theorem combinatorial argument ⓘ
Cauchy condensation test grouping terms in blocks of dyadic length via predicate surface "proofTechnique" ⓘ
Cauchy condensation test comparison of grouped sums with condensed series via predicate surface "proofTechnique" ⓘ
geometrization conjecture Ricci flow via predicate surface "proofMethod" ⓘ
surface form: Ricci flow with surgery
geometrization conjecture analysis of singularities in Ricci flow via predicate surface "proofMethod" ⓘ
Dehn lemma use of towers of covering spaces via predicate surface "proofMethod" ⓘ
Dehn lemma use of group-theoretic techniques in topology via predicate surface "proofMethod" ⓘ
Green–Tao theorem non-constructive proof via predicate surface "hasProofType" ⓘ
Euler’s theorem group-theoretic argument via predicate surface "proofMethod" ⓘ
Euler’s theorem combinatorial counting argument via predicate surface "proofMethod" ⓘ
Picard theorem normal families ⓘ
Picard theorem Montel theorem ⓘ
Picard theorem Riemann surfaces ⓘ
surface form: Riemann surface theory
Picard theorem potential theory ⓘ
Hadamard inequality induction on matrix size via predicate surface "proofTechnique" ⓘ
Hadamard inequality Cauchy–Binet formula via predicate surface "proofTechnique" ⓘ
Hadamard inequality Cauchy–Schwarz inequality via predicate surface "proofTechnique" ⓘ
Valiant–Vazirani theorem probabilistic method via predicate surface "proofMethod" ⓘ
Federal Rule of Evidence 1007 testimony of the party against whom the evidence is offered via predicate surface "methodOfProof" ⓘ
Federal Rule of Evidence 1007 testimony of the party’s representative via predicate surface "methodOfProof" ⓘ
Federal Rule of Evidence 1007 written statement of the party against whom the evidence is offered via predicate surface "methodOfProof" ⓘ
MIP equals NEXP
surface form: MIP = NEXP
oracularization techniques via predicate surface "isProvedUsing" ⓘ
MIP equals NEXP
surface form: MIP = NEXP
parallel repetition ideas via predicate surface "isProvedUsing" ⓘ
MIP equals NEXP
surface form: MIP = NEXP
algebraic encoding of computations via predicate surface "isProvedUsing" ⓘ
Böhm–Jacopini theorem program transformation via predicate surface "proofTechnique" ⓘ
Böhm–Jacopini theorem flowchart normalization via predicate surface "proofTechnique" ⓘ