SSL ms_composition_cont.prf
Interaktion und PortierbarkeitLisp
(ms_composition_cont
(IMP_continuity_ms_TCC1 0
(IMP_continuity_ms_TCC1-1 nil 3462096232
("" (lemma "fullset_metric_space1" ) (("" (propax) nil nil )) nil )
((fullset_metric_space1 formula-decl nil ms_composition_cont nil ))
nil ))
(IMP_continuity_ms_TCC2 0
(IMP_continuity_ms_TCC2-1 nil 3462096232
("" (lemma "fullset_metric_space2" ) (("" (propax) nil nil )) nil )
((fullset_metric_space2 formula-decl nil ms_composition_cont nil ))
nil ))
(IMP_continuity_ms_TCC3 0
(IMP_continuity_ms_TCC3-1 nil 3462096232
("" (lemma "fullset_metric_space3" ) (("" (propax) nil nil )) nil )
((fullset_metric_space3 formula-decl nil ms_composition_cont nil ))
nil ))
(composition_continuous 0
(composition_continuous-1 nil 3462096289
("" (skosimp*)
(("" (label "finalcont" 1)
(("" (label "imcont" -2)
(("" (label "firstcont" -1)
(("" (expand "continuous?" )
(("" (skosimp*)
(("" (inst "firstcont" "x!1" )
(("" (inst "imcont" "f!1(x!1)" )
(("1" (expand "continuous_at?" )
(("1" (skosimp*)
(("1" (inst "imcont" "epsilon!1" )
(("1" (skosimp*)
(("1" (inst "firstcont" "delta!1" )
(("1" (skosimp*)
(("1"
(inst "finalcont" "delta!2" )
(("1"
(skosimp*)
(("1"
(inst "firstcont" "y!1" )
(("1"
(inst "imcont" "f!1(y!1)" )
(("1" (grind) nil nil )
("2"
(expand "image" )
(("2" (inst + "y!1" ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (expand "image" ) (("2" (inst + "x!1" ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((x!1 skolem-const-decl "(S!1)" ms_composition_cont nil )
(S!1 skolem-const-decl "set[T1]" ms_composition_cont nil )
(f!1 skolem-const-decl "[T1 -> T2]" ms_composition_cont nil )
(image const-decl "set[R]" function_image nil )
(T2 formal-nonempty-type-decl nil ms_composition_cont nil )
(y!1 skolem-const-decl "(S!1)" ms_composition_cont nil )
(ball const-decl "set[T]" metric_spaces nil )
(member const-decl "bool" sets nil )
(O const-decl "T3" function_props nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(posreal nonempty-type-eq-decl nil real_types nil )
(> const-decl "bool" reals nil )
(nonneg_real nonempty-type-eq-decl nil real_types nil )
(>= const-decl "bool" reals nil )
(real nonempty-type-from-decl nil reals nil )
(real_pred const-decl "[number_field -> boolean]" reals nil )
(number_field nonempty-type-from-decl nil number_fields nil )
(number_field_pred const-decl "[number -> boolean]" number_fields
nil )
(number nonempty-type-decl nil numbers nil )
(continuous_at? const-decl "bool" continuity_ms_def nil )
(set type-eq-decl nil sets nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(T1 formal-nonempty-type-decl nil ms_composition_cont nil )
(continuous? const-decl "bool" continuity_ms_def nil ))
shostak)))
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2026-03-28