(number_fields_sq
(sq_nz_pos 0
(sq_nz_pos-1 nil 3280147667
("" (expand "sq" )
(("" (skosimp*)
((""
(lemma "nznum_times_nznum_is_nznum"
("nzx" "nz!1" "nzy" "nz!1" ))
(("" (assert ) nil nil )) nil ))
nil ))
nil )
((nznum_times_nznum_is_nznum application-judgement "nznum"
number_fields_bis nil )
(nznum_times_nznum_is_nznum judgement-tcc nil number_fields_bis
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 )
(/= const-decl "boolean" notequal nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(sq const-decl "numfield" number_fields_sq nil ))
shostak))
(sq_rew 0
(sq_rew-1 nil 3280147747
("" (expand "sq" ) (("" (propax) nil nil )) nil )
((sq const-decl "numfield" number_fields_sq nil )) shostak))
(sq_neg 0
(sq_neg-1 nil 3280147757
("" (expand "sq" )
(("" (skosimp*) (("" (rewrite "neg_times_neg" ) nil nil )) nil )) nil )
((numfield nonempty-type-eq-decl nil number_fields 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 )
(neg_times_neg formula-decl nil number_fields_bis nil )
(sq const-decl "numfield" number_fields_sq nil ))
shostak))
(sq_times 0
(sq_times-1 nil 3280147791
("" (expand "sq" ) (("" (propax) nil nil )) nil )
((sq const-decl "numfield" number_fields_sq nil )) shostak))
(sq_plus 0
(sq_plus-1 nil 3280147801
("" (expand "sq" ) (("" (grind) nil nil )) nil )
((sq const-decl "numfield" number_fields_sq nil )) shostak))
(sq_minus 0
(sq_minus-1 nil 3280147819 ("" (grind) nil nil )
((sq const-decl "numfield" number_fields_sq nil )) shostak))
(sq_neg_minus 0
(sq_neg_minus-1 nil 3280147827
("" (expand "sq" ) (("" (propax) nil nil )) nil )
((sq const-decl "numfield" number_fields_sq nil )) shostak))
(sq_0 0
(sq_0-1 nil 3280147836 ("" (expand "sq" ) (("" (propax) nil nil )) nil )
((sq const-decl "numfield" number_fields_sq nil )) shostak))
(sq_1 0
(sq_1-1 nil 3280147845 ("" (expand "sq" ) (("" (propax) nil nil )) nil )
((sq const-decl "numfield" number_fields_sq nil )) shostak))
(sq_eq_0 0
(sq_eq_0-1 nil 3280147908
("" (skosimp*)
(("" (expand "sq" )
(("" (split)
(("1" (flatten)
(("1" (lemma "zero_times3" ("x" "a!1" "y" "a!1" ))
(("1" (assert ) nil nil )) nil ))
nil )
("2" (flatten)
(("2" (assert )
(("2" (replace -1) (("2" (rewrite "zero_times1" ) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((sq const-decl "numfield" number_fields_sq nil )
(zero_times1 formula-decl nil number_fields_bis nil )
(zero_times3 formula-decl nil number_fields_bis 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 )
(numfield nonempty-type-eq-decl nil number_fields nil ))
shostak))
(sq_div 0
(sq_div-1 nil 3280147989
("" (expand "sq" )
(("" (skosimp*) (("" (rewrite "div_times" ) nil nil )) nil )) nil )
((numfield nonempty-type-eq-decl nil number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal 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 )
(div_times formula-decl nil number_fields_bis nil )
(sq const-decl "numfield" number_fields_sq nil ))
shostak)))
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