GPTKB
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hasAxiom
URI:
https://gptkb.org/prop/hasAxiom
870
triples
GPTKB property
Alternative names (10)
axiom
•
axiomatizedBy
•
axioms
•
axiomsInclude
•
containsAxiom
•
hasAxiomSystem
•
hasAxioms
•
includesAxiom
•
isAxiomatizationOf
•
satisfiesAxiom
Random triples
Subject
Object
gptkb:modal_logic_T
all propositional tautologies
gptkb:ZFC_(with_axiom_of_choice)
gptkb:axiom_of_extensionality
gptkb:Real_vector_space
compatibility of scalar multiplication with field multiplication
gptkb:vertex_operator_algebras
Jacobi identity
gptkb:Kelley–Morse_set_theory
gptkb:Axiom_of_Class_Comprehension
gptkb:MK_set_theory
gptkb:Axiom_of_Extensionality
gptkb:ZFC_(Zermelo–Fraenkel_set_theory_with_Choice)
gptkb:Axiom_of_Union
gptkb:Lobachevskian_geometry
through a point not on a given line, there are infinitely many lines parallel to the given line
gptkb:Real_vector_space
associativity of addition
gptkb:Eilenberg–Steenrod_axioms
dimension axiom
gptkb:Heyting_arithmetic
Heyting's axioms
gptkb:Π^1_1-CA_0
gptkb:Π^1_1_comprehension_axiom
gptkb:general_extensional_mereology
parthood is antisymmetric
gptkb:ZFC_(with_choice)
gptkb:Axiom_of_Power_Set
gptkb:Zermelo–Fraenkel_set_theory_without_the_axiom_of_choice
gptkb:axiom_schema_of_separation
gptkb:Von_Neumann–Bernays–Gödel_Set_Theory
Axiom of Class Elementhood
gptkb:first-order_logic_with_equality
transitivity of equality
gptkb:NBG_set_theory
gptkb:Axiom_of_Infinity
gptkb:Operads
Associativity
gptkb:Projective_geometry
gptkb:Desargues'_theorem