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disjunction property
disjunction property
1. For a deductive system 
, the property that for every disjunctive -theorem , either is theorem of or is theorem of . Most notably, intuitionistic logic enjoys the disjunction property.
2. For a theory and deductive system , the property holding of when only if or . The disjunction property is most commonly discussed in the context of intuitionistic logic, e.g., the intuitionistic Heyting Arithmetic enjoys the disjunction property.
