(fault_masking_vote
(mid_val_is_maj 0
(mid_val_is_maj-1 nil 3284827266
("" (skosimp*)
(("" (expand "mid_val")
(("" (expand "maj")
(("" (lift-if)
(("" (prop)
(("" (hide 1)
(("" (expand "empty?")
(("" (skosimp*)
(("" (expand "member")
(("" (case "mid_val?(A!1) = maj?(A!1)")
(("1" (replace -) (("1" (propax) nil nil)) nil)
("2" (hide 2)
(("2" (decompose-equality 1)
(("2" (expand "mid_val?")
(("2" (expand "maj?")
(("2"
(iff)
(("2"
(prop)
(("1"
(case "x!1 = x!2")
(("1"
(replace -)
(("1" (propax) nil nil))
nil)
("2"
(lemma "maj_size")
(("2"
(inst - "A!1" "x!1")
(("2"
(assert)
(("2"
(case "leq(x!1, x!2)")
(("1"
(use "u_filter_purge")
(("1"
(assert)
(("1"
(use "card_subbag?")
(("1"
(assert)
nil
nil)
("2"
(case "x!1 = x!2")
(("1"
(propax)
nil
nil)
("2"
(rewrite
"finite_u_filter")
nil
nil))
nil))
nil))
nil))
nil)
("2"
(use "l_filter_purge")
(("2"
(use "card_subbag?")
(("1"
(assert)
(("1"
(typepred! "leq")
(("1"
(expand
"total_order?")
(("1"
(expand
"partial_order?")
(("1"
(expand
"dichotomous?")
(("1"
(flatten)
(("1"
(inst?)
(("1"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(rewrite
"finite_l_filter")
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide -2)
(("2"
(use "l_filter_extract")
(("2"
(use "card_extract_bag")
(("2"
(use "card_subbag?")
(("1" (assert) nil nil)
("2"
(hide -2)
(("2"
(use "u_filter_extract")
(("2"
(use
"card_extract_bag")
(("2"
(use "card_subbag?")
(("1"
(assert)
(("1"
(rewrite
"finite_l_filter")
nil
nil))
nil)
("2"
(rewrite
"finite_u_filter")
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("3"
(hide -2)
(("3"
(use "u_filter_extract")
(("3"
(use "card_extract_bag")
(("3"
(use "card_subbag?")
(("1" (assert) nil nil)
("2"
(rewrite "finite_u_filter")
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((mid_val const-decl "T" middle_value_select nil)
(maj? const-decl "bool" majority_vote nil)
(mid_val? const-decl "bool" middle_value_select nil)
(leq formal-const-decl "(total_order?[T])" fault_masking_vote nil)
(total_order? const-decl "bool" orders nil)
(pred type-eq-decl nil defined_types nil)
(finite_bag type-eq-decl nil finite_bags nil)
(is_finite const-decl "bool" finite_bags nil)
(bag type-eq-decl nil bags nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(>= const-decl "bool" reals nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals 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)
(= const-decl "[T, T -> boolean]" equalities nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(T formal-nonempty-type-decl nil fault_masking_vote nil)
(maj_size formula-decl nil majority_vote nil)
(nil application-judgement "finite_bag[T]" fault_masking_vote nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(nil application-judgement "finite_bag[T]" fault_masking_vote nil)
(mult_divides2 application-judgement "(divides(m))" divides nil)
(mult_divides1 application-judgement "(divides(n))" divides nil)
(even_times_int_is_even application-judgement "even_int" integers
nil)
(nnint_times_nnint_is_nnint application-judgement "nonneg_int"
integers nil)
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(l_filter_purge formula-decl nil bag_filters nil)
(dichotomous? const-decl "bool" orders nil)
(partial_order? const-decl "bool" orders nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(l_filter const-decl "bag" bag_filters nil)
(u_filter_purge formula-decl nil bag_filters nil)
(card_subbag? formula-decl nil finite_bags nil)
(u_filter const-decl "bag" bag_filters nil)
(purge const-decl "bag" bags nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(nil application-judgement "finite_bag[T]" fault_masking_vote nil)
(l_filter_extract formula-decl nil bag_filters nil)
(extract const-decl "bag" bags nil)
(nil application-judgement "finite_bag[T]" fault_masking_vote nil)
(card_extract_bag formula-decl nil finite_bags nil)
(u_filter_extract formula-decl nil bag_filters nil)
(member const-decl "bool" sets nil)
(empty? const-decl "bool" sets nil)
(maj const-decl "T" majority_vote nil))
shostak)))
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(vorverarbeitet)
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