SSL csequence_prefix_suffix.prf
Interaktion und
Portierbarkeitunbekannt
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(csequence_prefix_suffix
(prefix_suffix_eta 0
(prefix_suffix_eta-1 nil 3513622227
("" (induct "n")
(("1" (skolem!)
(("1" (expand* "prefix" "suffix")
(("1" (rewrite "o_empty_left") nil nil)) nil))
nil)
("2" (skosimp*)
(("2" (expand "prefix" +)
(("2" (expand "suffix" +)
(("2" (lift-if)
(("2" (rewrite "o_empty_left")
(("2" (ground)
(("2" (rewrite "o_add")
(("2" (decompose-equality)
(("2" (inst - "rest(cseq!1)") nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((first adt-accessor-decl "[(nonempty?) -> T]" csequence_codt nil)
(rest adt-accessor-decl "[(nonempty?) -> csequence]" csequence_codt
nil)
(nonempty? adt-recognizer-decl "[csequence -> boolean]"
csequence_codt nil)
(o_add formula-decl nil csequence_concatenate nil)
(csequence_add_extensionality formula-decl nil csequence_codt nil)
(add adt-constructor-decl "[[T, csequence] -> (nonempty?)]"
csequence_codt nil)
(add_finite application-judgement "nonempty_finite_csequence[T]"
csequence_prefix_suffix nil)
(o_nonempty_left application-judgement "nonempty_csequence"
csequence_prefix_suffix nil)
(empty_cseq adt-constructor-decl "(empty?)" csequence_codt nil)
(empty_csequence nonempty-type-eq-decl nil csequence_props nil)
(empty? adt-recognizer-decl "[csequence -> boolean]" csequence_codt
nil)
(o_empty_left formula-decl nil csequence_concatenate nil)
(nat_induction formula-decl nil naturalnumbers nil)
(suffix def-decl "(LAMBDA (cseq1): suffix?(cseq1, cseq))"
csequence_suffix nil)
(suffix? inductive-decl "bool" csequence_suffix nil)
(prefix def-decl "{fseq | prefix?(fseq, cseq)}" csequence_prefix
nil)
(prefix? coinductive-decl "bool" csequence_prefix nil)
(finite_csequence nonempty-type-eq-decl nil csequence_props nil)
(is_finite inductive-decl "bool" csequence_props nil)
(O const-decl "csequence" csequence_concatenate nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(csequence type-decl nil csequence_codt nil)
(T formal-type-decl nil csequence_prefix_suffix nil)
(pred type-eq-decl nil defined_types nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil))
shostak))
(prefix_suffix_extensionality 0
(prefix_suffix_extensionality-1 nil 3513622296
("" (skosimp)
(("" (lemma "prefix_suffix_eta")
(("" (inst-cp - "cseq2!1" "n!1")
(("" (inst - "cseq1!1" "n!1") (("" (assert) nil nil)) nil))
nil))
nil))
nil)
((prefix_suffix_eta formula-decl nil csequence_prefix_suffix nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(csequence type-decl nil csequence_codt nil)
(T formal-type-decl nil csequence_prefix_suffix nil))
shostak)))
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2026-03-28
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