(sort_fseq_lemsnil 3254568023"" (skosimp*)"" (typepred "sort(s!1)" )"" (typepred "min(s!1)" )"" (expand "increasing?" )"" (skosimp*)"" (expand "permutation?" )"" (assert )"" (skosimp*)"" (expand "bijective?" )"" (flatten)"" (expand "surjective?" )"" (inst -4 "0" )"" (skosimp*)"" (inst -5 "x!1" )"" replace -4)"" "" "x!1" )"" "" "jj!1" )"" "0" "f!1(jj!1)" )"" replace -1 * rl)"" assert )"" "" replace -2)"" replace -4)"" "" "sort_fseq_lems.<=" )"" expand "total_order?" )"" expand "partial_order?" )"" "" expand "antisymmetric?" )"" "" assert )"" "f!1(jj!1)" )"" rewrite "sort_length" )nil nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )"{ss: fseq | permutation?[T, <=](s, ss) AND increasing?(ss)}" nil )"bool" sort_fseq nil )AND const-decl "[bool, bool -> bool]" booleans nil )nil fseqs nil )"bool" reals nil )nil reals nil )"[number_field -> boolean]" reals nil )nil number_fields nil )"[number -> boolean]" number_fieldsnil )nil numbers nil )nil fseqs nil )nil fseqs nil )"bool" permutations_fseq nil )"(total_order?[T])" sort_fseq_lems nil )"bool" orders nil )nil defined_types nil )nil fsq nil )nil sort_fseq_lems nil )nil naturalnumbers nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil )"(strict_total_order?[real])" real_props nil )nil naturalnumbers nil )"bool" relations nil )"bool" orders nil )"bool" functions nil )"bool" functions nil )nil sort_fseq nil )"[real -> boolean]" rationals nil )nil rationals nil )"[rational -> boolean]" integers nil )nil integers nil )"bool" reals nil ) (< const-decl "bool" reals nil )nil min_fseq nil )"[T, T -> boolean]" equalities nil )min const-decl "{t: T | AND " min_fseq nil)) nil ))nil 3254568023"" (skosimp*)"" (assert ) (("" (rewrite "sort_length" ) (("" (assert ) nil ))))))nil )"int" integers nil )"(total_order?[real])" nil ))nil ))nil 3254568023"" (skosimp*)"" (typepred "sort(s!1)" )"" (typepred "max(s!1)" )"" (expand "increasing?" )"" (skosimp*)"" (expand "permutation?" )"" (rewrite "sort_length" )"" (assert )"" (skosimp*)"" (inst-cp -4 "jj!1" )"" (expand "bijective?" )"" (flatten)"" (expand "surjective?" )"" (inst -4 "length(sort(s!1))-1" )"" "" "x!1" )"" replace -4)"" "" "x!1" )"" replace -4)"" "" "f!1(jj!1)" "length(sort(s!1))-1" )"" assert )"" replace -2)"" "" replace -3 * rl)"" "" "sort_fseq_lems.<=" )"" expand "total_order?" )"" expand "partial_order?" )"" "" expand "antisymmetric?" )"" "" assert )"" "f!1(jj!1)" )"" rewrite "sort_length" )"" assert )nil nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil ))nil )"{ss: fseq | permutation?[T, <=](s, ss) AND increasing?(ss)}" nil )"bool" sort_fseq nil )AND const-decl "[bool, bool -> bool]" booleans nil )nil fseqs nil )"bool" reals nil )nil reals nil )"[number_field -> boolean]" reals nil )nil number_fields nil )"[number -> boolean]" number_fieldsnil )nil numbers nil )nil fseqs nil )nil fseqs nil )"bool" permutations_fseq nil )"(total_order?[T])" sort_fseq_lems nil )"bool" orders nil )nil defined_types nil )nil fsq nil )nil sort_fseq_lems nil )nil naturalnumbers nil )NOT const-decl "[bool -> bool]" booleans nil )nil booleans nil )nil booleans nil )"int" integers nil )nil naturalnumbers nil )"(strict_total_order?[real])" real_props nil )"(total_order?[real])" nil )"[numfield, numfield -> numfield]" number_fields nil )nil number_fields nil )"bool" orders nil )"bool" relations nil )"bool" functions nil )"bool" functions nil )nil sort_fseq nil )"[real -> boolean]" rationals nil )nil rationals nil )"[rational -> boolean]" integers nil )nil integers nil )"bool" reals nil ) (< const-decl "bool" reals nil )nil max_fseq nil )"[T, T -> boolean]" equalities nil )max const-decl "{t: T | AND " max_fseq nil)) nil )))quality 100%
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