(csequence_add
(add_finite 0
(add_finite-1 nil 3513474090
("" (expand "is_finite") (("" (propax) nil nil)) nil)
((is_finite inductive-decl "bool" csequence_props nil)) nil))
(add_infinite 0
(add_infinite-1 nil 3513474090
("" (expand "is_finite") (("" (propax) nil nil)) nil)
((is_finite inductive-decl "bool" csequence_props nil)) nil))
(add_length 0
(add_length-1 nil 3513474119
("" (expand "length" 1 1) (("" (propax) nil nil)) nil)
((length def-decl "{n | has_length(fseq, n)}" csequence_length nil))
shostak))
(add_index_TCC1 0
(add_index_TCC1-1 nil 3513474090 ("" (subtype-tcc) nil nil)
((boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(number nonempty-type-decl nil numbers nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(>= const-decl "bool" reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil))
nil))
(add_index 0
(add_index-1 nil 3513474177
("" (expand "index?" 1 1) (("" (propax) nil nil)) nil)
((index? def-decl "bool" csequence_nth nil)
(int_minus_int_is_int application-judgement "int" integers nil))
shostak))
(add_nth_TCC1 0
(add_nth_TCC1-1 nil 3513474090
("" (expand "index?") (("" (propax) nil nil)) nil)
((index? def-decl "bool" csequence_nth nil)) nil))
(add_nth 0
(add_nth-1 nil 3513474195
("" (expand "nth" 1 1) (("" (propax) nil nil)) nil)
((nth def-decl "T" csequence_nth nil)) shostak))
(add_last_TCC1 0
(add_last_TCC1-1 nil 3513474090 ("" (subtype-tcc) nil nil)
((boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(T formal-type-decl nil csequence_add nil)
(csequence type-decl nil csequence_codt nil)
(is_finite inductive-decl "bool" csequence_props nil)
(finite_csequence nonempty-type-eq-decl nil csequence_props nil))
nil))
(add_last 0
(add_last-1 nil 3513474207
("" (skolem!)
(("" (expand "last")
(("" (expand "length" 1 1)
(("" (expand "nth" 1 1)
(("" (use "length_empty?_rew")
(("" (lift-if) (("" (lift-if) (("" (ground) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil)
((last const-decl "T" csequence_nth nil)
(nth def-decl "T" csequence_nth nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(csequence type-decl nil csequence_codt nil)
(boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(is_finite inductive-decl "bool" csequence_props nil)
(finite_csequence nonempty-type-eq-decl nil csequence_props nil)
(length_empty?_rew formula-decl nil csequence_length nil)
(T formal-type-decl nil csequence_add nil)
(length def-decl "{n | has_length(fseq, n)}" csequence_length nil))
shostak))
(add_some 0
(add_some-1 nil 3513474245
("" (expand "some" 1 1) (("" (propax) nil nil)) nil)
((some inductive-decl "boolean" csequence_codt nil)) shostak))
(add_every 0
(add_every-1 nil 3513474251
("" (expand "every" 1 1) (("" (propax) nil nil)) nil)
((every coinductive-decl "boolean" csequence_codt nil)) shostak)))
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