(min_lem
(min_lem 0
(min_lem-1 nil 3507100594
("" (skosimp*)
(("" (lemma "min_def[nat]" )
(("" (inst?) (("" (assert ) nil nil )) nil )) nil ))
nil )
((nat nonempty-type-eq-decl nil naturalnumbers nil )
(>= const-decl "bool" reals nil )
(bool nonempty-type-eq-decl nil booleans 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 )
(boolean nonempty-type-decl nil booleans nil )
(number nonempty-type-decl nil numbers nil )
(min_def formula-decl nil min_nat nil )
(min const-decl "{a | S(a) AND (FORALL x: S(x) IMPLIES a <= x)}"
min_nat nil )
(<= const-decl "bool" reals nil )
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(nonempty? const-decl "bool" sets nil )
(set type-eq-decl nil sets nil ))
nil )))
quality 100%
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