|
(subseq (subseq_index 0
(subseq_index-1 nil 3398148619
("" (skolem + ("f" "_"))
(("" (typepred "f")
(("" (expand "strict_increasing?")
(("" (induct "i")
(("1" (assert) nil nil)
("2" (skosimp)
(("2" (inst - "j!1" "j!1+1")
(("2" (assert) nil nil)) nil))
nil))
nil))
nil))
nil))
nil)
((strict_increasing? const-decl "bool" real_fun_preds
"reals/")
(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)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(pred type-eq-decl nil defined_types nil)
(nat_induction formula-decl nil naturalnumbers nil)
(real_ge_is_total_order name-judgement
"(total_order?[real])" real_props nil)
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil)
(+ const-decl "[numfield, numfield -> numfield]"
number_fields nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
shostak))
(reflexive_subseq 0
(reflexive_subseq-1 nil 3398150273
("" (skosimp)
(("" (expand "subseq?")
(("" (inst + "lambda i:i")
(("1" (skosimp) nil nil)
("2" (expand "strict_increasing?")
(("2" (skosimp) nil nil)) nil))
nil))
nil))
nil)
((subseq? const-decl "bool" subseq nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans 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)
(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)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(strict_increasing? const-decl "bool" real_fun_preds
"reals/"))
shostak))
(transitive_subseq 0
(transitive_subseq-1 nil 3398150181
("" (expand "subseq?")
(("" (skosimp*)
(("" (inst + "f!2 o f!1")
(("1" (skosimp)
(("1" (inst - "i!1")
(("1" (inst - "f!1(i!1)")
(("1" (expand "o ") (("1" (assert) nil nil)) nil))
nil))
nil))
nil)
("2" (hide -1 -2)
(("2" (typepred "f!2")
(("2" (typepred "f!1")
(("2" (expand "o")
(("2" (expand "strict_increasing?")
(("2" (skosimp)
(("2" (inst - "x!1" "y!1")
(("2" (inst - "f!1(x!1)" "f!1(y!1)")
(("2" (assert) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans 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)
(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)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(strict_increasing? const-decl "bool" real_fun_preds
"reals/")
(O const-decl "T3" function_props nil)
(f!2 skolem-const-decl
"({f: [nat -> nat] | strict_increasing?(f)})" subseq nil)
(f!1 skolem-const-decl
"({f: [nat -> nat] | strict_increasing?(f)})" subseq nil)
(subseq? const-decl "bool" subseq nil))
shostak)))
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