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(Square
(sqrt_positive 0
(sqrt_positive-1 nil 3552163066 ("" (default-strategy))
((real_ge_is_total_order name-judgement "(total_order?[real])"
real_props 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))
shostak))
(sqrt_square 0
(sqrt_square-1 nil 3552163066 ("" (default-strategy))
((sqr const-decl "real" Square nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
real_types 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))
shostak))
(square_sqrt 0
(square_sqrt-1 nil 3552163066 ("" (default-strategy))
((real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_times_real_is_real application-judgement "real" reals nil)
(sqrt_square formula-decl nil sqrt "reals/")
(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))
shostak))
(sqrt_mul 0
(sqrt_mul-1 nil 3552163067
("" (default-strategy) (("" (postpone) nil nil)) nil) nil shostak))
(sqrt_le 0
(sqrt_le-1 nil 3552163067 ("" (default-strategy)) nil shostak)))
|
