alias id "SS" = "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/SS.var".
-inline procedural "cic:/CoRN/reals/Bridges_LUB/member.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/member.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/Pmember.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/Pmember.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/is_upper_bound.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/is_upper_bound.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/l_u_b.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/l_u_b.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/supremum.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/supremum.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/Psupremum.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/Psupremum.con" as definition.
(* the following definitions are not used in *)
(* this file but later we will need them *)
-inline procedural "cic:/CoRN/reals/Bridges_LUB/is_lower_bound.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/is_lower_bound.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/g_l_b.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/g_l_b.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/infimum.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/infimum.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/Pinfimum.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/Pinfimum.con" as definition.
(* UNEXPORTED
End lub_definitions
alias id "located" = "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/located.var".
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/s.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/s.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Ps.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Ps.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/b0.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/b0.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Pb0.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Pb0.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/b0_is_upper_bound.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/b0_is_upper_bound.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/s_inhabits_A.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/s_inhabits_A.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_l.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_l.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_r.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_r.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/dl_less_dr.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/dl_less_dr.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink23d.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink23d.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink13d.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink13d.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink24d.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/shrink24d.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/Real_Interval.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/Real_Interval.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze_strong.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze_strong.con" as lemma.
(* NOTATION
Notation "( p , q )" := (pairT p q).
*)
-inline procedural "cic:/CoRN/reals/Bridges_LUB/dif_cotrans.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/dif_cotrans.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/dif_cotrans_strong.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/dif_cotrans_strong.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/U.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/U.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/V.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/V.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/W.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/W.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/delta_dIntrvl.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/delta_dIntrvl.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/Length_dIntrvl.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/Length_dIntrvl.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_l_n.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_l_n.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_r_n.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_r_n.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/V_increase.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/V_increase.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/W_decrease.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/W_decrease.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/U_m_n_V.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/U_m_n_V.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/U_m_n_W.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/U_m_n_W.con" as lemma.
(* These lemma are *very* similar to those in *)
(* Cauchy_rationals_approach_reals.v *)
-inline procedural "cic:/CoRN/reals/Bridges_LUB/a_familiar_simple_inequality.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/a_familiar_simple_inequality.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/U_conversion_rate2.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/U_conversion_rate2.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/CS_seq_U.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/CS_seq_U.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/U_as_CauchySeq.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/U_as_CauchySeq.con" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/B.con" "LUBP__upper_bound_sequence__".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/B.con" "LUBP__upper_bound_sequence__" as definition.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/U_minus_V.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/U_minus_V.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/U_minus_W.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/U_minus_W.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/U_V_upper.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/U_V_upper.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/U_W_lower.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/U_W_lower.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_V.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_V.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_W.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_W.con" as lemma.
(* Two properties of exponentiation in COrdFields *)
-inline procedural "cic:/CoRN/reals/Bridges_LUB/nexp_resp_great_One.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/nexp_resp_great_One.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/very_weak_binomial.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/very_weak_binomial.con" as lemma.
(* A consequence of Archimedean property - *)
(* the every basis of definition of e=lim(1+1/n)^n *)
-inline procedural "cic:/CoRN/reals/Bridges_LUB/nexp_resp_Two.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/nexp_resp_Two.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/twisted_archimedean.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/twisted_archimedean.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/B_limit_V.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/B_limit_V.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/B_limit_W.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/B_limit_W.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/W_n_is_upper.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/W_n_is_upper.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/A_bounds_V_n.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/A_bounds_V_n.con" as lemma.
-inline procedural "cic:/CoRN/reals/Bridges_LUB/cauchy_gives_lub.con".
+inline procedural "cic:/CoRN/reals/Bridges_LUB/cauchy_gives_lub.con" as theorem.
(* UNEXPORTED
End upper_bound_sequence