satisfies

P4233
predicate

Indicates that one entity meets, fulfills, or complies with the requirements, conditions, or expectations specified by another.

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All labels observed (18)

Label Occurrences
satisfies canonical 339
satisfy 29
satisfiesAxiom 18

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: satisfies
Generated description
Indicates that one entity meets, fulfills, or complies with the requirements, conditions, or expectations specified by another.

Sample triples (443)

Subject Object
Weil cohomology Lefschetz fixed-point theorem ⓘ
surface form: Lefschetz fixed point formula
Weil cohomology hard Lefschetz isomorphisms ⓘ
Weil cohomology compatibility with cycle classes ⓘ
étale cohomology Mayer–Vietoris sequence in de Rham cohomology ⓘ
surface form: Mayer–Vietoris sequence
étale cohomology long exact sequence of a pair ⓘ
étale cohomology Poincaré duality for smooth proper varieties ⓘ
étale cohomology Künneth formula under hypotheses ⓘ
Grothendieck group universal property of group completion ⓘ
Dirichlet L-functions functional equation relating L(s,χ) and L(1−s,χ̄) ⓘ
Dirichlet L-functions analytic continuation except possible simple pole at s=1 for principal characters ⓘ
Riemann–Stieltjes integral integration by parts formula ⓘ
Henstock–Kurzweil integral linearity ⓘ
Henstock–Kurzweil integral additivity over intervals ⓘ
Henstock–Kurzweil integral translation invariance on the real line ⓘ
Hadamard fractional integral linearity ⓘ
Hadamard fractional integral semigroup property in the order parameter ⓘ
Gibbs sampling detailed balance with respect to the target distribution ⓘ
Markov random fields
surface form: Markov random field
Markov processes ⓘ
surface form: Markov property
Dedekind zeta functions
surface form: Dedekind zeta function
Euler product over prime ideals of the ring of integers ⓘ
(2,3,7) triangle group 1/2 + 1/3 + 1/7 < 1 ⓘ
Fano plane any two distinct points lie on a unique line via predicate surface "satisfiesAxiom" ⓘ
Fano plane any two distinct lines meet in a unique point via predicate surface "satisfiesAxiom" ⓘ
Fano plane there exist four points no three of which are collinear via predicate surface "satisfiesAxiom" ⓘ
Clebsch–Gordan coefficients orthogonality relations ⓘ
Clebsch–Gordan coefficients completeness relations ⓘ
Clebsch–Gordan coefficients triangle inequality for angular momenta ⓘ
Clebsch–Gordan coefficients selection rule m1 plus m2 equals M ⓘ
Clebsch–Gordan coefficients selection rule absolute value of j1 minus j2 lessOrEqual J lessOrEqual j1 plus j2 ⓘ
Dehn twist braid relations with twists about intersecting curves ⓘ
Dehn twist commutation relations for disjoint curves ⓘ
Dehn twist lantern relation on a sphere with four boundary components ⓘ
Dehn twist chain relation on a chain of curves ⓘ
Milnor K-theory {ab,c_2,…,c_n}={a,c_2,…,c_n}+{b,c_2,…,c_n} via predicate surface "satisfiesRelation" ⓘ
Milnor K-theory {a_1,…,a_i,…,a_j,…,a_n} = −{a_1,…,a_j,…,a_i,…,a_n} via predicate surface "satisfiesRelation" ⓘ
Gelfand–Tsetlin basis interlacing conditions between rows of patterns ⓘ
Feynman propagator inhomogeneous Klein–Gordon equation for scalar fields ⓘ
Feynman propagator appropriate wave equation for the field under consideration ⓘ
Wightman functions cluster decomposition property ⓘ
Wightman functions relativistic invariance ⓘ
Wightman functions spectral support condition ⓘ
Wightman functions local commutativity ⓘ
Wightman functions Hermiticity conditions ⓘ
Lebesgue measure monotonicity property ⓘ
Lebesgue measure continuity from below ⓘ
Lebesgue measure continuity from above for decreasing sequences of sets with finite measure ⓘ
Wightman correlation functions Wightman axioms ⓘ
Wightman correlation functions Poincaré covariance ⓘ
Wightman correlation functions spectral condition ⓘ
Wightman correlation functions locality ⓘ
Wightman correlation functions positivity condition ⓘ