58 lines
2.4 KiB
Plaintext
58 lines
2.4 KiB
Plaintext
(sumtut
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(sum_TCC1 0
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(sum_TCC1-1 nil 3863850619 ("" (subtype-tcc) nil nil) nil nil
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(sum subtype "(number_fields.-)(sumtut.n, 1)" "nat")))
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(sum_TCC2 0
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(sum_TCC2-1 nil 3863850619 ("" (termination-tcc) nil nil) nil nil
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(sum termination "sumtut.sum((number_fields.-)(sumtut.n, 1))"
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"nil")))
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(closed_form 0
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(closed_form-1 nil 3863850620
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("" (induct "n")
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(("1" (expand "sum") (("1" (propax) nil nil)) nil)
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("2" (assert)
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(("2" (skolem!)
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(("2" (flatten)
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(("2" (expand "sum" +) (("2" (assert) nil nil)) nil)) nil))
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nil))
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nil))
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nil)
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((posint_plus_nnint_is_posint application-judgement "posint"
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integers nil)
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(even_times_int_is_even application-judgement "even_int" integers
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nil)
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(nnint_plus_nnint_is_nnint application-judgement "nonneg_int"
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integers nil)
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(nnint_times_nnint_is_nnint application-judgement "nonneg_int"
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integers nil)
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(posrat_div_posrat_is_posrat application-judgement "posrat"
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rationals nil)
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(nnrat_div_posrat_is_nnrat application-judgement "nonneg_rat"
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rationals nil)
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(nat_induction formula-decl nil naturalnumbers nil)
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(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
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(* const-decl "[numfield, numfield -> numfield]" number_fields nil)
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(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
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(nznum nonempty-type-eq-decl nil number_fields nil)
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(/= const-decl "boolean" notequal nil)
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(numfield nonempty-type-eq-decl nil number_fields nil)
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(sum def-decl "nat" sumtut nil)
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(= const-decl "[T, T -> boolean]" equalities nil)
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(pred type-eq-decl nil defined_types nil)
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(nat nonempty-type-eq-decl nil naturalnumbers nil)
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(>= const-decl "bool" reals nil)
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(bool nonempty-type-eq-decl nil booleans nil)
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(int nonempty-type-eq-decl nil integers nil)
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(integer_pred const-decl "[rational -> boolean]" integers nil)
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(rational nonempty-type-from-decl nil rationals nil)
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(rational_pred const-decl "[real -> boolean]" rationals nil)
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(real nonempty-type-from-decl nil reals nil)
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(real_pred const-decl "[number_field -> boolean]" reals nil)
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(number_field nonempty-type-from-decl nil number_fields nil)
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(number_field_pred const-decl "[number -> boolean]" number_fields
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nil)
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(boolean nonempty-type-decl nil booleans nil)
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(number nonempty-type-decl nil numbers nil))
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shostak)))
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