(composition_continuous
(composition_cont 0
(composition_cont-1 nil 3473169490
("" (skosimp*)
(("" (expand "continuous?" )
(("" (skosimp*)
(("" (inst -2 "epsilon!1" )
(("" (expand "o " )
(("" (skosimp*)
(("" (inst - "delta!1" )
(("" (skolem!)
(("" (inst 1 "delta!2" )
(("" (skosimp)
(("" (inst - "x!1" )
(("" (assert )
(("" (inst - "f!1(x!1)" )
(("" (assert ) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((real_minus_real_is_real application-judgement "real" reals nil )
(continuous? const-decl "bool" continuous_functions nil )
(number nonempty-type-decl nil numbers nil )
(boolean nonempty-type-decl nil booleans nil )
(number_field_pred const-decl "[number -> boolean]" number_fields
nil )
(number_field nonempty-type-from-decl nil number_fields nil )
(real_pred const-decl "[number_field -> boolean]" reals nil )
(real nonempty-type-from-decl nil reals nil )
(bool nonempty-type-eq-decl nil booleans nil )
(>= const-decl "bool" reals nil )
(nonneg_real nonempty-type-eq-decl nil real_types nil )
(> const-decl "bool" reals nil )
(posreal nonempty-type-eq-decl nil real_types nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(T2_pred const-decl "[real -> boolean]" composition_continuous nil )
(T2 formal-subtype-decl nil composition_continuous nil )
(T1_pred const-decl "[real -> boolean]" composition_continuous nil )
(T1 formal-subtype-decl nil composition_continuous nil )
(O const-decl "T3" function_props nil ))
nil ))
(composition_cont_set 0
(composition_cont_set-1 nil 3473169490
("" (skosimp*)
(("" (rewrite "continuous_on_def" )
(("" (rewrite "continuous_on_def" )
(("" (rewrite "continuous_on_def" )
(("" (skosimp*)
(("" (grind :exclude ("convergence" ) :if-match nil )
(("" (inst?)
(("" (assert )
(("" (inst?)
(("1" (grind :exclude ("abs" "adh" ) :if-match nil )
(("1" (inst? -6)
(("1" (skolem!)
(("1" (inst -4 "delta!1" )
(("1" (skolem!)
(("1"
(inst 1 "delta!2" )
(("1"
(skosimp)
(("1"
(inst -4 "x!1" )
(("1"
(inst -6 "f!1(x!1)" )
(("1"
(assert )
(("1" (inst?) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (assert )
(("2" (inst?)
(("2" (hide-all-but 1)
(("2" (typepred "y!1" )
(("2" (expand "restrict" )
(("2" (propax) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
nil nil ))
(composition_cont_fun 0
(composition_cont_fun-1 nil 3473169490
("" (grind :defs nil :rewrites ("continuous_def2[T1]" ))
(("" (rewrite "composition_cont_set" )
(("1" (rewrite "continuity_subset2[T2]" )
(("1" (delete -1 -2 2 3) (("1" (grind) nil )))))
("2" (rewrite "subset_reflexive" ) nil ))))
nil )
((subset_is_partial_order name-judgement "(partial_order?[set[T]])"
sets_lemmas nil )
(composition_cont_set formula-decl nil composition_continuous nil )
(bool nonempty-type-eq-decl nil booleans nil )
(setof type-eq-decl nil defined_types nil )
(set type-eq-decl nil sets nil )
(subset? const-decl "bool" sets nil )
(T2_pred const-decl "[real -> boolean]" composition_continuous nil )
(T2 formal-subtype-decl nil composition_continuous nil )
(continuity_subset2 formula-decl nil continuous_functions nil )
(restrict const-decl "R" restrict nil )
(Im const-decl "setof[real]" real_fun_props "reals/" )
(subset_reflexive formula-decl nil sets_lemmas nil )
(continuous_def2 formula-decl nil continuous_functions nil )
(number nonempty-type-decl nil numbers nil )
(boolean nonempty-type-decl nil booleans nil )
(number_field_pred const-decl "[number -> boolean]" number_fields
nil )
(number_field nonempty-type-from-decl nil number_fields nil )
(real_pred const-decl "[number_field -> boolean]" reals nil )
(real nonempty-type-from-decl nil reals nil )
(T1_pred const-decl "[real -> boolean]" composition_continuous nil )
(T1 formal-subtype-decl nil composition_continuous nil ))
nil )))
quality 100%
¤ Dauer der Verarbeitung: 0.14 Sekunden
(vorverarbeitet)
¤
*© Formatika GbR, Deutschland