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(int
(cauchy_int_TCC1 0
(cauchy_int_TCC1-1 nil 3287600938 ("" (grind) 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)
(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)
(int_minus_int_is_int application-judgement "int" integers nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(^ const-decl "real" exponentiation nil)
(cauchy_prop const-decl "bool" cauchy nil)
(cauchy_real? const-decl "bool" cauchy nil)
(posnat_expt application-judgement "posnat" exponentiation nil)
(mult_divides1 application-judgement "(divides(n))" divides nil)
(mult_divides2 application-judgement "(divides(m))" divides nil))
nil))
(cauchy_nat_TCC1 0
(cauchy_nat_TCC1-1 nil 3287600939
("" (expand "cauchy_nnreal?")
(("" (skosimp*)
(("" (inst + "n!1")
(("" (expand "cauchy_prop") (("" (propax) nil nil)) nil)) nil))
nil))
nil)
((nnint_times_nnint_is_nnint application-judgement "nonneg_int"
integers nil)
(mult_divides1 application-judgement "(divides(n))" divides nil)
(mult_divides2 application-judgement "(divides(m))" divides nil)
(cauchy_prop const-decl "bool" cauchy nil)
(nat nonempty-type-eq-decl nil naturalnumbers 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)
(nnreal type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(cauchy_nnreal? const-decl "bool" cauchy nil)
(posint_exp application-judgement "posint" exponentiation nil))
shostak))
(int_lemma 0
(int_lemma-1 nil 3287600938 ("" (grind) nil nil)
((^ const-decl "real" exponentiation nil)
(cauchy_int const-decl "cauchy_real" int nil)
(cauchy_prop const-decl "bool" cauchy nil)
(mult_divides2 application-judgement "(divides(m))" divides nil)
(mult_divides1 application-judgement "(divides(n))" divides nil)
(posnat_expt application-judgement "posnat" exponentiation nil))
nil))
(nat_lemma 0
(nat_lemma-1 nil 3287601015
("" (expand "cauchy_prop")
(("" (skosimp*)
(("" (expand "cauchy_nat") (("" (propax) nil nil)) nil)) nil))
nil)
((cauchy_nat const-decl "cauchy_nnreal" int nil)
(mult_divides2 application-judgement "(divides(m))" divides nil)
(mult_divides1 application-judgement "(divides(n))" divides nil)
(nnint_times_nnint_is_nnint application-judgement "nonneg_int"
integers nil)
(cauchy_prop const-decl "bool" cauchy nil)
(posint_exp application-judgement "posint" exponentiation nil))
shostak)))
¤ Dauer der Verarbeitung: 0.21 Sekunden
(vorverarbeitet)
¤
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