(commutative_ring_with_onenil 3292785972"" (expand "commutative_ring_with_one?" )"" (lemma "star_commutative" )"" (lemma "fullset_is_ring_with_one" ) (("" (assert ) nil nil ))nil ))nil ))nil )nil ring_with_one nil ))nil 3292786148"" (lemma "fullset_is_commutative_ring_with_one" )"" (expand "commutative_ring_with_one?" ) (("" (flatten) nil nil ))nil ))nil )"bool" ring_with_one_defnil )nil nil ))nil 3292786148"" (lemma "fullset_is_commutative_ring_with_one" )"" (expand "commutative_ring_with_one?" )"" (expand "commutative_ring?" )"" (expand "ring_with_one?" )"" (flatten) (("" (assert ) nil nil )) nil )) nil ))nil ))nil ))nil )"bool" ring_with_one_defnil )"bool" ring_with_one_def nil )"bool" ring_def nil )nil nil ))nil 3292786148"" (lemma "fullset_is_commutative_ring_with_one" )"" (propax) nil nil )) nil )nil nil ))nil 3292786031"" (skolem!) (("" (typepred "R!1" ) (("" (propax) nil nil )) nil ))nil )nil nil )"bool" ring_with_one_defnil )"T" commutative_ring_with_one nil )"T" commutative_ring_with_one nil )"[T, T -> T]" commutative_ring_with_one nil )"[T, T -> T]" commutative_ring_with_one nil )set type-eq-decl nil sets nil )nil commutative_ring_with_one nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil ))nil 3292786051"" (skosimp*)"" (typepred "x!1" )"" (expand "commutative_ring_with_one?" )"" (expand "commutative_ring?" )"" (expand "ring_with_one?" )"" (flatten) (("" (assert ) nil nil )) nil )) nil ))nil ))nil ))nil ))nil )nil nil )"bool" ring_with_one_defnil )"T" commutative_ring_with_one nil )"T" commutative_ring_with_one nil )"[T, T -> T]" commutative_ring_with_one nil )"[T, T -> T]" commutative_ring_with_one nil )set type-eq-decl nil sets nil )nil commutative_ring_with_one nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil )"bool" ring_def nil )"bool" ring_with_one_def nil ))nil 3292786121"" (skosimp*)"" (typepred "x!1" )"" (expand "commutative_ring_with_one?" )"" (flatten) nil nil )) nil ))nil ))nil )nil nil )"bool" ring_with_one_defnil )"T" commutative_ring_with_one nil )"T" commutative_ring_with_one nil )"[T, T -> T]" commutative_ring_with_one nil )"[T, T -> T]" commutative_ring_with_one nil )set type-eq-decl nil sets nil )nil commutative_ring_with_one nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil ))nil 3294094805"" (skosimp)"" (typepred "x!1" )"" (expand "commutative_ring_with_one?" )"" (expand "commutative_monoid?" )"" (expand "ring_with_one?" )"" (flatten) (("" (assert ) nil nil )) nil )) nil ))nil ))nil ))nil ))nil )nil nil )"bool" ring_with_one_defnil )"T" commutative_ring_with_one nil )"T" commutative_ring_with_one nil )"[T, T -> T]" commutative_ring_with_one nil )"[T, T -> T]" commutative_ring_with_one nil )set type-eq-decl nil sets nil )nil commutative_ring_with_one nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil )"bool" monoid_def nil )"bool" ring_with_one_def nil ))quality 100%
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