+alias id "le" = "cic:/Coq/Init/Peano/le.ind#xpointer(1/1)".
+alias id "le_lt_n_Sm" = "cic:/Coq/Arith/Lt/le_lt_n_Sm.con".
+alias id "le_lt_or_eq" = "cic:/Coq/Arith/Lt/le_lt_or_eq.con".
+alias id "le_n" = "cic:/Coq/Init/Peano/le.ind#xpointer(1/1/1)".
+alias id "le_n_O_eq" = "cic:/Coq/Arith/Le/le_n_O_eq.con".
+alias id "le_not_lt" = "cic:/Coq/Arith/Lt/le_not_lt.con".
+alias id "le_n_S" = "cic:/Coq/Arith/Le/le_n_S.con".
+alias id "le_O_n" = "cic:/Coq/Arith/Le/le_O_n.con".
+alias id "le_or_lt" = "cic:/Coq/Arith/Lt/le_or_lt.con".
+alias id "le_plus_l" = "cic:/Coq/Arith/Plus/le_plus_l.con".
+alias id "le_plus_minus" = "cic:/Coq/Arith/Minus/le_plus_minus.con".
+alias id "le_plus_minus_r" = "cic:/Coq/Arith/Minus/le_plus_minus_r.con".
+alias id "le_plus_r" = "cic:/Coq/Arith/Plus/le_plus_r.con".
+alias id "le_S" = "cic:/Coq/Init/Peano/le.ind#xpointer(1/1/2)".
+alias id "le_S_n" = "cic:/Coq/Arith/Le/le_S_n.con".
+alias id "le_Sn_n" = "cic:/Coq/Arith/Le/le_Sn_n.con".
+alias id "le_trans" = "cic:/Coq/Arith/Le/le_trans.con".
+alias id "lt" = "cic:/Coq/Init/Peano/lt.con".
+alias id "lt_irrefl" = "cic:/Coq/Arith/Lt/lt_irrefl.con".
+alias id "lt_le_S" = "cic:/Coq/Arith/Lt/lt_le_S.con".
+alias id "lt_n_S" = "cic:/Coq/Arith/Lt/lt_n_S.con".
+alias id "minus" = "cic:/Coq/Init/Peano/minus.con".
+alias id "minus_n_O" = "cic:/Coq/Arith/Minus/minus_n_O.con".
+alias id "minus_plus" = "cic:/Coq/Arith/Minus/minus_plus.con".
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+alias id "nat_ind" = "cic:/Coq/Init/Datatypes/nat_ind.con".
+alias id "not" = "cic:/Coq/Init/Logic/not.con".
+alias id "not_eq_S" = "cic:/Coq/Init/Peano/not_eq_S.con".
+alias id "O" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/1)".
+alias id "or" = "cic:/Coq/Init/Logic/or.ind#xpointer(1/1)".
+alias id "or_ind" = "cic:/Coq/Init/Logic/or_ind.con".
+alias id "or_introl" = "cic:/Coq/Init/Logic/or.ind#xpointer(1/1/1)".
+alias id "or_intror" = "cic:/Coq/Init/Logic/or.ind#xpointer(1/1/2)".
+alias id "O_S" = "cic:/Coq/Init/Peano/O_S.con".
+alias id "plus_assoc" = "cic:/Coq/Arith/Plus/plus_assoc.con".
+alias id "plus_assoc_reverse" = "cic:/Coq/Arith/Plus/plus_assoc_reverse.con".
+alias id "plus" = "cic:/Coq/Init/Peano/plus.con".
+alias id "plus_comm" = "cic:/Coq/Arith/Plus/plus_comm.con".
+alias id "plus_le_compat" = "cic:/Coq/Arith/Plus/plus_le_compat.con".
+alias id "plus_le_reg_l" = "cic:/Coq/Arith/Plus/plus_le_reg_l.con".
+alias id "plus_lt_reg_l" = "cic:/Coq/Arith/Plus/plus_lt_reg_l.con".
+alias id "plus_n_Sm" = "cic:/Coq/Init/Peano/plus_n_Sm.con".
+alias id "plus_reg_l" = "cic:/Coq/Arith/Plus/plus_reg_l.con".
+alias id "pred" = "cic:/Coq/Init/Peano/pred.con".
+alias id "refl_equal" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1/1)".
+alias id "S" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1/2)".
+alias id "true" = "cic:/Coq/Init/Datatypes/bool.ind#xpointer(1/1/1)".
+alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)".
+alias id "plus_lt_compat_r" = "cic:/Coq/Arith/Plus/plus_lt_compat_r.con".
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
+alias id "plus_le_lt_compat" = "cic:/Coq/Arith/Plus/plus_le_lt_compat.con".
+alias id "lt_wf_ind" = "cic:/Coq/Arith/Wf_nat/lt_wf_ind.con".
+alias id "minus_Sn_m" = "cic:/Coq/Arith/Minus/minus_Sn_m.con".
+alias id "and_ind" = "cic:/Coq/Init/Logic/and_ind.con".
+alias id "le_lt_trans" = "cic:/Coq/Arith/Lt/le_lt_trans.con".
+alias id "lt_le_trans" = "cic:/Coq/Arith/Lt/lt_le_trans.con".
+alias id "le_lt_trans" = "cic:/Coq/Arith/Lt/le_lt_trans.con".
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
+alias id "f_equal3" = "cic:/Coq/Init/Logic/f_equal3.con".
+alias id "S_pred" = "cic:/Coq/Arith/Lt/S_pred.con".
+alias id "lt_le_trans" = "cic:/Coq/Arith/Lt/lt_le_trans.con".
+alias id "plus_lt_compat_r" = "cic:/Coq/Arith/Plus/plus_lt_compat_r.con".
+alias id "le_plus_trans" = "cic:/Coq/Arith/Plus/le_plus_trans.con".
+alias id "f_equal2" = "cic:/Coq/Init/Logic/f_equal2.con".
+alias id "le_plus_trans" = "cic:/Coq/Arith/Plus/le_plus_trans.con".
+alias id "f_equal2" = "cic:/Coq/Init/Logic/f_equal2.con".
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
+alias id "plus_n_O" = "cic:/Coq/Init/Peano/plus_n_O.con".
+alias id "lt_trans" = "cic:/Coq/Arith/Lt/lt_trans.con".
+alias id "minus_Sn_m" = "cic:/Coq/Arith/Minus/minus_Sn_m.con".
+alias id "ex_intro" = "cic:/Coq/Init/Logic/ex.ind#xpointer(1/1/1)".
+alias id "lt_trans" = "cic:/Coq/Arith/Lt/lt_trans.con".
+alias id "lt_n_Sn" = "cic:/Coq/Arith/Lt/lt_n_Sn.con".
+alias id "lt_le_trans" = "cic:/Coq/Arith/Lt/lt_le_trans.con".
+alias id "lt_wf_ind" = "cic:/Coq/Arith/Wf_nat/lt_wf_ind.con".
+alias id "bool_ind" = "cic:/Coq/Init/Datatypes/bool_ind.con".
+alias id "ex_ind" = "cic:/Coq/Init/Logic/ex_ind.con".
+alias id "plus_Snm_nSm" = "cic:/Coq/Arith/Plus/plus_Snm_nSm.con".
+alias id "plus_lt_le_compat" = "cic:/Coq/Arith/Plus/plus_lt_le_compat.con".
+alias id "plus_lt_compat" = "cic:/Coq/Arith/Plus/plus_lt_compat.con".
+alias id "lt_S_n" = "cic:/Coq/Arith/Lt/lt_S_n.con".
+alias id "minus_n_n" = "cic:/Coq/Arith/Minus/minus_n_n.con".