(relation_extension
(rel_extension_is_equivalence 0
(rel_extension_is_equivalence-1 nil 3571755052
("" (skosimp*)
(("" (expand "equivalence?" )
(("" (prop)
(("1" (expand "reflexive?" )
(("1" (skolem!)
(("1" (expand "rel_extension" )
(("1" (prop)
(("1" (typepred "le_T!1" )
(("1" (expand "equivalence?" )
(("1" (prop)
(("1" (expand "reflexive?" )
(("1" (inst?) nil nil )) nil ))
nil ))
nil ))
nil )
("2" (typepred "le_U!1" )
(("2" (expand "equivalence?" )
(("2" (prop)
(("2" (expand "reflexive?" )
(("2" (inst?) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (expand "symmetric?" )
(("2" (skolem!)
(("2" (prop)
(("2" (expand "rel_extension" )
(("2" (prop)
(("1" (hide -2)
(("1" (typepred "le_T!1" )
(("1" (expand "equivalence?" )
(("1" (prop)
(("1" (expand "symmetric?" )
(("1" (inst -2 "x!1`1" "y!1`1" )
(("1" (prop) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (hide -1)
(("2" (typepred "le_U!1" )
(("2" (expand "equivalence?" )
(("2" (prop)
(("2" (expand "symmetric?" )
(("2" (inst -2 "x!1`2" "y!1`2" )
(("2" (prop) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("3" (expand "transitive?" )
(("3" (skolem!)
(("3" (prop)
(("3" (expand "rel_extension" )
(("3" (prop)
(("1" (hide -2 -4)
(("1" (typepred "le_T!1" )
(("1" (expand "equivalence?" )
(("1" (prop)
(("1" (expand "transitive?" )
(("1" (inst -3 "x!1`1" "y!1`1" "z!1`1" )
(("1" (prop) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (hide -1 -3)
(("2" (typepred "le_U!1" )
(("2" (expand "equivalence?" )
(("2" (prop)
(("2" (expand "transitive?" )
(("2" (inst -3 "x!1`2" "y!1`2" "z!1`2" )
(("2" (prop) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((equivalence? const-decl "bool" relations nil )
(transitive? const-decl "bool" relations nil )
(symmetric? const-decl "bool" relations nil )
(reflexive? const-decl "bool" relations nil )
(rel_extension const-decl "set[[[T, U], [T, U]]]"
relation_extension nil )
(equivalence type-eq-decl nil relations nil )
(PRED type-eq-decl nil defined_types nil )
(T formal-nonempty-type-decl nil relation_extension nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(U formal-nonempty-type-decl nil relation_extension nil ))
nil )))
quality 100%
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