(abelian_groupnil 3293976868"" (lemma "fullset_is_abelian_group" )"" (expand "abelian_group?" ) (("" (flatten) nil nil )) nil )) nil )"bool" group_def nil )nil abelian_group nil ))nil 3293976891"" (lemma "fullset_is_abelian_group" ) (("" (propax) nil nil )) nil )nil abelian_group nil ))nil 3293976699"" (skolem!)"" (typepred "x!1" )"" (expand "abelian_group?" ) (("" (flatten) nil nil )) nil ))nil ))nil )nil abelian_group nil )"bool" group_def nil )"T" abelian_group nil )"[T, T -> T]" abelian_group nil )set type-eq-decl nil sets nil )nil abelian_group nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil ))nil 3294086816"" (skosimp)"" (typepred "x!1" )"" (expand "abelian_group?" )"" (expand "group?" )"" (expand "commutative_monoid?" )"" (flatten) (("" (assert ) nil nil )) nil )) nil ))nil ))nil ))nil ))nil )nil abelian_group nil )"bool" group_def nil )"T" abelian_group nil )"[T, T -> T]" abelian_group nil )set type-eq-decl nil sets nil )nil abelian_group nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil )"bool" group_def nil )"bool" monoid_def nil ))nil 3293976722"" (skolem!)"" (flatten)"" (typepred "A!1" )"" (expand "abelian_group?" )"" (flatten)"" (expand "subgroup?" )"" (flatten)"" (assert )"" (hide -1 -4)"" (expand "commutative_over?" )"" (skosimp*)"" (inst - "x!1" "y!1" )"" (expand "subset?" )"" (inst-cp - "x!1" )"" "y!1" )"" (grind) nil nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )"bool" group_def nil )"(partial_order?[set[T]])" nil )"bool" sets nil )"abelian_group" abelian_group nil )"set[T]" abelian_group nil )"(S!1)" abelian_group nil )"(S!1)" abelian_group nil )"bool" sets nil )"bool" operator_defs nil )"R" restrict nil )nil booleans nil )nil booleans nil )NOT const-decl "[bool -> bool]" booleans nil )nil abelian_group nil )set type-eq-decl nil sets nil )"[T, T -> T]" abelian_group nil )"T" abelian_group nil )"bool" group_def nil )nil abelian_group nil ))nil 3407081659"" (inst + "singleton[T](one)" )"" (expand "finite_abelian_group?" )"" (assert )"" (expand "commutative?" )"" (skosimp*)"" (grind)"" (typepred "y!1" )"" (typepred "x!1" )"" (expand "singleton" )"" (replace -1)"" (hide -1)"" (replace -1) (("" (propax) nil nil )) nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )"bool" operator_defs nil )"R" restrict nil )NOT const-decl "[bool -> bool]" booleans nil )nil group nil )"(singleton?)" sets nil )"bool" sets nil )"bool" group_def nil )"T" abelian_group nil )"[T, T -> T]" abelian_group nil )set type-eq-decl nil sets nil )nil booleans nil )nil booleans nil )nil abelian_group nil )"non_empty_finite_set" finite_sets nil ))nil ))nil 3426244950"" (skosimp*)"" (typepred "x!1" )"" (expand "finite_abelian_group?" )"" (flatten)"" (expand "abelian_group?" )"" (expand "finite_group?" )"" (flatten) (("" (assert ) nil nil )) nil )) nil ))nil ))nil ))nil ))nil ))nil )nil abelian_group nil )"bool" group_def nil )"T" abelian_group nil )"[T, T -> T]" abelian_group nil )set type-eq-decl nil sets nil )nil abelian_group nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil )"bool" group_def nil )"bool" group_def nil ))nil )nil 3407081659"" (skosimp*)"" (typepred "x!1" )"" (expand "finite_abelian_group?" )"" (flatten)"" (assert )"" (expand "abelian_group?" )"" (assert )"" (expand "finite_group?" ) (("" (propax) nil nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )"bool" group_def nil )"bool" group_def nil )"bool" group_def nil ))nil ))nil 3407081659"" (skosimp*)"" (typepred "x!1" )"" (assert )"" (expand "finite_group?" )"" (expand "finite_abelian_group?" ) (("" (propax) nil nil ))nil ))nil ))nil ))nil ))nil )nil abelian_group nil )"bool" group_def nil )"T" abelian_group nil )"[T, T -> T]" abelian_group nil )set type-eq-decl nil sets nil )nil abelian_group nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil )"bool" group_def nil ))nil ))nil 3407081668"" (skosimp)"" (lemma "abelian_subgroups" ("S" "S!1" "A" "G!1" ))"" (expand "finite_abelian_group?" )"" (expand "abelian_group?" )"" (assert )"" (flatten)"" (assert )"" (expand "finite_group?" )"" (lemma "finite_subgroups" )"" (inst?) (("" (assert ) nil nil )) nil )) nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )nil abelian_group nil )"bool" group_def nil )nil abelian_group nil )"bool" group_def nil )"T" abelian_group nil )"[T, T -> T]" abelian_group nil )set type-eq-decl nil sets nil )nil booleans nil )nil booleans nil )nil abelian_group nil )nil abelian_group nil )"bool" group_def nil )nil group nil )nil group nil ))nil )))quality 97%
¤ Dauer der Verarbeitung: 0.14 Sekunden
(vorverarbeitet)
¤ *© Formatika GbR, Deutschland
