(group_rew
(IMP_group_TCC1 0
(IMP_group_TCC1-1 nil 3406631842
("" (rewrite "fullset_is_group" ) nil nil )
((fullset_is_group formula-decl nil group_rew nil )) nil ))
(inv_left 0
(inv_left-1 nil 3406637320
("" (skosimp*) (("" (rewrite "inv_left" ) nil nil )) nil )
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(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak))
(inv_right 0
(inv_right-1 nil 3406637329
("" (skosimp*) (("" (rewrite "inv_right" ) nil nil )) nil )
((inv_right formula-decl nil group nil )
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(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak))
(inv_inv 0
(inv_inv-1 nil 3406637362
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shostak))
(inv_one 0
(inv_one-1 nil 3406637376 ("" (rewrite "inv_one" ) nil nil )
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(inv_one formula-decl nil group nil ))
shostak))
(inv_in 0
(inv_in-1 nil 3406637389
("" (skosimp*) (("" (rewrite "inv_in" ) nil nil )) nil )
((inv_in formula-decl nil group nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(set type-eq-decl nil sets nil )
(group? const-decl "bool" group_def nil )
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(T formal-nonempty-type-decl nil group_rew nil )
(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak))
(expt_0 0
(expt_0-1 nil 3406637398
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((expt_0 formula-decl nil group nil )
(T formal-nonempty-type-decl nil group_rew nil )
(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak))
(expt_1 0
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((expt_1 formula-decl nil group nil )
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(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak))
(expt_m1 0
(expt_m1-1 nil 3406637427
("" (skosimp*) (("" (rewrite "expt_m1" ) nil nil )) nil )
((expt_m1 formula-decl nil group nil )
(T formal-nonempty-type-decl nil group_rew nil )
(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak))
(one_expt 0
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("" (skosimp*) (("" (rewrite "one_expt" ) nil nil )) nil )
((one_expt formula-decl nil group 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 )
(T formal-nonempty-type-decl nil group_rew nil )
(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak))
(one_left 0
(one_left-1 nil 3406637451
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((one_left formula-decl nil group nil )
(T formal-nonempty-type-decl nil group_rew nil )
(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak))
(one_right 0
(one_right-1 nil 3406637464
("" (skosimp*) (("" (rewrite "one_right" ) nil nil )) nil )
((one_right formula-decl nil group nil )
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(* formal-const-decl "[T, T -> T]" group_rew nil )
(one formal-const-decl "T" group_rew nil ))
shostak)))
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