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Existential instantiation

In predicate logic, existential instantiation (also called existential elimination) is a rule of inference which says that, given a formula of the form ( ∃ x ) ϕ ( x ) {\displaystyle (\exists x)\phi (x)} , one may infer ϕ ( c ) {\displaystyle \phi (c)} for a new constant symbol c. The rule has the restrictions that the constant c introduced by the rule…

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Predicate logicRule of inference
2 related topics

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Field
Predicate logic
Symbolic statement
∃ x P ( x ) ⟹ P ( a ) {\displaystyle \exists xP\left({x}\right)\implies P\left({a}\right)}
Type
Rule of inference

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Existential instantiation

Nodes4
Edges3
Triples3
Avg. degree1.5
Density0.5
Components1

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Existential instantiation

Top relations

Field · 1
Existential instantiation → Predicate logic
Symbolic statement · 1
Existential instantiation → ∃ x P ( x ) ⟹ P ( a ) {\displaystyle \exists xP\left({x}\right)\implies P\left({a}\right)}
Type · 1
Existential instantiation → Rule of inference

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Important terminology

also rule displaystyle new constant exists inference one may symbol must proof notation predicate logic left right statement existential instantiation

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Existential instantiationFieldPredicate logic1.00infobox
Existential instantiationSymbolic statement∃ x P ( x ) ⟹ P ( a ) {\displaystyle \exists xP\left({x}\right)\implies P\left({a}\right)}1.00infobox
Existential instantiationTypeRule of inference1.00infobox

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