(runs
(invariant_rule 0
(invariant_rule-1 nil 3418568327
("" (skeep)
(("" (expand "invariant" ) (("" (induct-and-simplify "n" ) nil nil ))
nil ))
nil )
((invariant const-decl "bool" runs 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 )
(pred type-eq-decl nil defined_types nil )
(State formal-type-decl nil runs nil )
(sequence type-eq-decl nil sequences nil )
(run_fragment const-decl "pred[sequence[State]]" runs nil )
(run const-decl "pred[(run_fragment)]" runs nil )
(nat_induction formula-decl nil naturalnumbers nil )
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil )
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil )
(odd_minus_odd_is_even application-judgement "even_int" integers
nil )
(even_minus_odd_is_odd application-judgement "odd_int" integers
nil )
(int_minus_int_is_int application-judgement "int" integers nil ))
nil )))
quality 100%
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