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1\date{2025-11-27T04:46:18Z} 2\taxon{Exercise} 3\author{liamoc} 4\import{shiki-macros} 5\parent{isa-0002} 6\import{dt-macros} 7\put\shiki/language{Isabelle Theory} 8 9\shiki{lemma ‹(∀ x. P x) ⟶ Q ⟹ ∃ x. P x ⟶ Q›} 10 11\solnblock{\shiki{apply (rule ccontr) 12apply (elim impE) 13 apply (intro allI) 14 apply (rule ccontr) 15 apply (erule notE) 16 apply (rule_tac x = x in exI) 17 apply (rule impI) 18 apply (erule notE) 19 apply assumption 20apply (erule notE) 21apply (intro exI) 22apply (rule impI) 23apply assumption 24done}} 25 26