(composition_borel
(composition_borel 0
(composition_borel-1 nil 3384890801
("" (skosimp)
(("" (expand "o" )
(("" (expand "borel_function?" )
(("" (skosimp)
(("" (inst - "B!1" )
(("" (inst - "inverse_image(f!1,B!1)" )
(("" (expand "inverse_image" )
(("" (expand "member" ) (("" (propax) nil nil )) nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((O const-decl "T3" function_props nil )
(B!1 skolem-const-decl "borel[T3, U]" composition_borel nil )
(f!1 skolem-const-decl "[T2 -> T3]" composition_borel nil )
(inverse_image const-decl "set[D]" function_image nil )
(set type-eq-decl nil sets nil )
(T formal-const-decl "topology[T2]" composition_borel nil )
(T2 formal-type-decl nil composition_borel nil )
(member const-decl "bool" sets nil )
(borel nonempty-type-eq-decl nil borel nil )
(borel? const-decl "sigma_algebra" borel nil )
(U formal-const-decl "topology[T3]" composition_borel nil )
(topology nonempty-type-eq-decl nil topology_prelim "topology/" )
(topology? const-decl "bool" topology_prelim "topology/" )
(sigma_algebra nonempty-type-eq-decl nil subset_algebra_def nil )
(sigma_algebra? const-decl "bool" subset_algebra_def nil )
(setofsets type-eq-decl nil sets nil )
(setof type-eq-decl nil defined_types nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(T3 formal-type-decl nil composition_borel nil )
(borel_function? const-decl "bool" borel_functions nil ))
shostak))
(composition_is_borel 0
(composition_is_borel-1 nil 3384890745
("" (skosimp)
(("" (lemma "composition_borel" ("g" "G!1" "f" "F!1" ))
(("" (assert ) nil nil )) nil ))
nil )
((S formal-const-decl "topology[T1]" composition_borel nil )
(T1 formal-type-decl nil composition_borel nil )
(borel_function type-eq-decl nil borel_functions nil )
(borel_function? const-decl "bool" borel_functions nil )
(U formal-const-decl "topology[T3]" composition_borel nil )
(T formal-const-decl "topology[T2]" composition_borel nil )
(topology nonempty-type-eq-decl nil topology_prelim "topology/" )
(topology? const-decl "bool" topology_prelim "topology/" )
(setofsets type-eq-decl nil sets nil )
(setof type-eq-decl nil defined_types nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(T3 formal-type-decl nil composition_borel nil )
(T2 formal-type-decl nil composition_borel nil )
(composition_borel formula-decl nil composition_borel nil ))
nil )))
quality 100%
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