(scott_product
(product_order_TCC1 0
(product_order_TCC1-1 nil 3353124202
("" (skosimp)
(("" (typepred "le1!1" )
(("" (typepred "le2!1" )
(("" (expand "partial_order?" )
(("" (expand "preorder?" )
(("" (flatten)
(("" (split)
(("1" (expand "reflexive?" )
(("1" (skosimp)
(("1" (inst - "x!1`2" )
(("1" (inst - "x!1`1" ) (("1" (assert ) nil nil ))
nil ))
nil ))
nil ))
nil )
("2" (expand "transitive?" )
(("2" (skosimp)
(("2" (inst - "x!1`2" "y!1`2" "z!1`2" )
(("2" (inst - "x!1`1" "y!1`1" "z!1`1" )
(("2" (assert ) (("2" (assert ) nil nil )) nil ))
nil ))
nil ))
nil ))
nil )
("3" (expand "antisymmetric?" )
(("3" (skosimp)
(("3" (inst - "x!1`2" "y!1`2" )
(("3" (inst - "x!1`1" "y!1`1" )
(("3" (assert )
(("3" (decompose-equality) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((partial_order? const-decl "bool" orders nil )
(pred type-eq-decl nil defined_types nil )
(T1 formal-type-decl nil scott_product nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(antisymmetric? const-decl "bool" relations nil )
(transitive? const-decl "bool" relations nil )
(reflexive? const-decl "bool" relations nil )
(preorder? const-decl "bool" orders nil )
(T2 formal-type-decl nil scott_product nil ))
nil ))
(IMP_scott_TCC1 0
(IMP_scott_TCC1-1 nil 3508838560
("" (typepred "le1" )
(("" (expand "directed_complete_partial_order?" )
(("" (flatten) nil nil )) nil ))
nil )
((boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(T1 formal-type-decl nil scott_product nil )
(pred type-eq-decl nil defined_types nil )
(directed_complete_partial_order? const-decl "bool" directed_orders
"orders/" )
(le1 formal-const-decl "(directed_complete_partial_order?[T1])"
scott_product nil ))
nil ))
(IMP_scott_TCC2 0
(IMP_scott_TCC2-1 nil 3515324483
("" (typepred "le2" )
(("" (expand "directed_complete_partial_order?" )
(("" (flatten) nil nil )) nil ))
nil )
((boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(T2 formal-type-decl nil scott_product nil )
(pred type-eq-decl nil defined_types nil )
(directed_complete_partial_order? const-decl "bool" directed_orders
"orders/" )
(le2 formal-const-decl "(directed_complete_partial_order?[T2])"
scott_product nil ))
nil ))
(IMP_scott_TCC3 0
(IMP_scott_TCC3-1 nil 3515324483
("" (typepred "product_order(le1, le2)" )
(("" (expand "directed_complete_partial_order?" )
(("" (hide -1)
(("" (expand "product_order" )
(("" (lemma "product_preserves_directed_complete[T1,T2]" )
(("" (inst -1 "le1" "le2" )
(("1" (expand "*" ) (("1" (propax) nil nil )) nil )
("2" (hide 2)
(("2" (assert )
(("2" (typepred "le2" )
(("2" (expand "directed_complete_partial_order?" )
(("2" (propax) nil nil )) nil ))
nil ))
nil ))
nil )
("3" (hide 2)
(("3" (typepred "le1" )
(("3" (expand "directed_complete_partial_order?" )
(("3" (propax) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((AND const-decl "[bool, bool -> bool]" booleans nil )
(directed_complete? const-decl "bool" directed_orders "orders/" )
(* const-decl "bool" product_orders "orders/" )
(product_preserves_directed_complete judgement-tcc nil
product_orders "orders/" )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(T1 formal-type-decl nil scott_product nil )
(T2 formal-type-decl nil scott_product nil )
(pred type-eq-decl nil defined_types nil )
(partial_order? const-decl "bool" orders nil )
(product_order const-decl "(partial_order?[[T1, T2]])"
scott_product nil )
(directed_complete_partial_order? const-decl "bool" directed_orders
"orders/" )
(le1 formal-const-decl "(directed_complete_partial_order?[T1])"
scott_product nil )
(le2 formal-const-decl "(directed_complete_partial_order?[T2])"
scott_product nil ))
nil )))
quality 88%
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