satisfies

P4233
predicate

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

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
Riesz projection spectrum of T|_{ker(P)} lies in complement of selected part of spectrum
Artin conductor multiplicativity under induction in many cases
Artin conductor additivity on direct sums of representations
Solomonoff induction universal dominance over all computable semimeasures
Solomonoff induction asymptotic optimality in sequence prediction
J.Crew Factory shipping within the United States via predicate surface "fulfills"
Cohen–Macaulay ring Serre’s condition (S_dim R)
Clifford algebra v·v = Q(v)·1 for all vectors v via predicate surface "satisfiesRelation"
Coulomb potential Poisson equation for a point charge
Coulomb potential Laplace equation away from charges
V_us CKM unitarity relations NERFINISHED
V_cs unitarity constraints of CKM matrix
V_td CKM unitarity constraints
Landau collision operator H-theorem NERFINISHED
Milne universe model Friedmann equations with ρ = 0 and Λ = 0
Milne universe model cosmological principle in comoving coordinates
Wirtinger derivatives linearity in the function argument
Wirtinger derivatives Leibniz rule for products
Wirtinger derivatives chain rule for compositions
Zassenhaus filtration D_{n+1}(G) ≤ D_n(G)
Galois extension fundamental theorem of Galois theory NERFINISHED
Csiszár f-divergence data processing inequality
Blaschke products
surface form: Blaschke product
|B(z)| ≤ 1 for |z| < 1
Blaschke products
surface form: Blaschke product
Blaschke condition on zeros for infinite products
Busemann function triangle inequality type estimates derived from the metric
Chern–Simons forms
surface form: Chern–Simons form
d(CS) = characteristic class representative
Möbius function ∑_{d|n} μ(d) = 1 if n = 1
Möbius function ∑_{d|n} μ(d) = 0 if n > 1
Möbius function μ * 1 = ε, where ε is the identity for Dirichlet convolution
Barnes G-function G(z)≠0 for non-integer complex z
Jack polynomials orthogonality with respect to Jack inner product
Macdonald polynomials triangularity with respect to dominance order on partitions
Macdonald polynomials Cauchy identity for Macdonald polynomials
Macdonald polynomials Pieri-type rules
Macdonald polynomials Macdonald positivity conjecture (proved) NERFINISHED
Harish-Chandra c-function functional equations under Weyl group action
Hodge star operator * * α = (−1)^{k(n−k)} α on k-forms in n dimensions
Hodge star operator is an isomorphism between k-forms and (n−k)-forms
Hodge star operator is an involution up to sign
Tate cohomology long exact sequences
Tate cohomology dimension shifting properties
Drinfeld associators pentagon equation via predicate surface "satisfy"
Drinfeld associators hexagon equations via predicate surface "satisfy"
Drinfeld associators group-like condition in a completed tensor algebra via predicate surface "satisfy"
Drinfeld associators normalization conditions (e.g., trivial constant term) via predicate surface "satisfy"
Drinfeld–Jimbo quantum groups quantum Yang–Baxter equation NERFINISHED
Drinfeld–Jimbo quantum groups q-Serre relations
Whitehead product in homotopy theory
surface form: Whitehead product
graded Jacobi identity up to sign
Whitehead product in homotopy theory
surface form: Whitehead product
[α,β] = −(−1)^{mn}[β,α] for α∈π_m, β∈π_n
Whitehead product graded Jacobi identity up to homotopy