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1\date{2025-11-25T20:14:40Z} 2\author{liamoc} 3\title{Existential Quantifiers} 4\taxon{Definition} 5\parent{isa-0002} 6\import{shiki-macros} 7\put\shiki/language{Isabelle Theory} 8 9\shiki{axiomatization 10 Ex :: ‹('a ⇒ bool) ⇒ bool› (binder "∃" 10) 11where 12 exI : ‹⟦ P x ⟧ ⟹ ∃a. P a› and 13 exE : ‹⟦ ∃ x. P x ; ⋀a. P a ⟹ R ⟧ ⟹ R› 14}