GPTKB
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hasAxiom
URI:
https://gptkb.org/prop/hasAxiom
905
triples
GPTKB property
Alternative names (10)
axiom
•
axiomatizedBy
•
axioms
•
axiomsInclude
•
containsAxiom
•
hasAxiomSystem
•
hasAxioms
•
includesAxiom
•
isAxiomatizationOf
•
satisfiesAxiom
Random triples
Subject
Object
gptkb:Zermelo–Fraenkel_set_theory
gptkb:Axiom_of_Infinity
gptkb:Morse–Kelley_class_theory
gptkb:foundation
gptkb:NBG_(set_theory)
gptkb:Axiom_of_Choice
gptkb:normed_vector_space
positive definiteness
gptkb:Nash_Bargaining_Solution
gptkb:symmetry
gptkb:Zermelo-Fraenkel_set_theory_(ZF)
gptkb:Axiom_of_Empty_Set
gptkb:Zermelo-Fraenkel_set_theory_with_the_axiom_of_choice_(ZFC)
gptkb:Axiom_of_Power_Set
gptkb:Group_(mathematics)
Inverse element
gptkb:Quine's_New_Foundations
stratified comprehension axiom
gptkb:modal_logic_K
distribution axiom
gptkb:Tarski's_axioms_for_geometry
axiom of Pasch
gptkb:Set_Theory
gptkb:Axiom_of_Union
gptkb:Quillen_model_categories
closure under retracts
gptkb:MK_set_theory
gptkb:Axiom_of_Replacement
gptkb:first-order_logic_with_equality
substitutivity of equality
gptkb:logic
S4.3
gptkb:May's_theorem
decisiveness
gptkb:Euclidean_geometry
given a line and a point not on it, there is exactly one parallel line through the point
gptkb:ZF_(Zermelo–Fraenkel_set_theory_without_choice)
gptkb:Axiom_of_Extensionality
gptkb:NBG_axioms
gptkb:Axiom_of_Replacement