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:ZFC_(with_choice)
gptkb:set_theory
gptkb:Von_Neumann–Bernays–Gödel_Set_Theory
Axiom of Elementhood
gptkb:Morse–Kelley_Set_Theory
gptkb:Axiom_of_Regularity
gptkb:Zermelo-Fraenkel_set_theory_with_the_Axiom_of_Choice_(ZFC)
gptkb:set_theory
gptkb:Morse–Kelley_class_theory
pairing
gptkb:Von_Neumann–Bernays–Gödel_Set_Theory
gptkb:Axiom_of_Replacement
gptkb:modal_logic_S5
B: p → □◇p
gptkb:Zermelo-Fraenkel_set_theory_with_the_Axiom_of_Choice_(ZFC)
gptkb:Axiom_of_Choice
gptkb:von_Neumann–Morgenstern_utility_theorem
completeness
gptkb:NBG_axioms
gptkb:Axiom_of_Power_Set
gptkb:Von_Neumann–Bernays–Gödel_Set_Theory
Axiom of Class Existence
gptkb:ZFC_set_theory
gptkb:Axiom_of_Pairing
gptkb:Classical_Logic
gptkb:Law_of_identity
gptkb:MK_class_theory
gptkb:Axiom_of_Infinity
gptkb:Tarski–Grothendieck_Set_Theory
gptkb:Axiom_schema_of_separation
gptkb:Morse–Kelley_set_theory
gptkb:Axiom_of_Regularity
gptkb:Inner_product_space
Linearity in first argument
gptkb:Von_Neumann–Bernays–Gödel_Set_Theory
finite set of axioms
gptkb:complex_vector_space
commutativity of addition
gptkb:Zermelo_set_theory
gptkb:Axiom_of_Infinity
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