- new library/logic/coimplication.ma uses new decompose tactic

[helm.git] / matita / contribs / CoRN-Decl / reals / Bridges_LUB.ma

diff --git a/matita/contribs/CoRN-Decl/reals/Bridges_LUB.ma b/matita/contribs/CoRN-Decl/reals/Bridges_LUB.ma
index 1ec3771ae38ba36a27ccef0f1f4f33f723ee9b8c..9ebc968429e108a014f0e226984b992de2917222 100644 (file)
--- a/matita/contribs/CoRN-Decl/reals/Bridges_LUB.ma
+++ b/matita/contribs/CoRN-Decl/reals/Bridges_LUB.ma
@@ -16,6 +16,8 @@
 
 set "baseuri" "cic:/matita/CoRN-Decl/reals/Bridges_LUB".
 
+include "CoRN.ma".
+
 (* begin hide *)
 
 (* file        : least_upper_bound_principle.v                     *)
@@ -32,186 +34,186 @@ set "baseuri" "cic:/matita/CoRN-Decl/reals/Bridges_LUB".
 
 (* description : proof of the Bridges' least upper bound principle *)
 
-(* INCLUDE
-iso_CReals
-*)
+include "reals/iso_CReals.ma".
 
-(* INCLUDE
-Expon
-*)
+include "algebra/Expon.ma".
 
 (* UNEXPORTED
-Section LUBP.
+Section LUBP
 *)
 
-inline cic:/CoRN/reals/Bridges_LUB/R1.var.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/R1.var" "LUBP__".
 
 (* SUBSECTION ON GENRAL DEFINITIONS *)
 
 (* UNEXPORTED
-Section lub_definitions.
+Section lub_definitions
 *)
 
-inline cic:/CoRN/reals/Bridges_LUB/OF.var.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/OF.var" "LUBP__lub_definitions__".
 
-inline cic:/CoRN/reals/Bridges_LUB/SS.var.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/lub_definitions/SS.var" "LUBP__lub_definitions__".
 
-inline cic:/CoRN/reals/Bridges_LUB/member.con.
+inline "cic:/CoRN/reals/Bridges_LUB/member.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/Pmember.con.
+inline "cic:/CoRN/reals/Bridges_LUB/Pmember.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/is_upper_bound.con.
+inline "cic:/CoRN/reals/Bridges_LUB/is_upper_bound.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/l_u_b.con.
+inline "cic:/CoRN/reals/Bridges_LUB/l_u_b.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/supremum.con.
+inline "cic:/CoRN/reals/Bridges_LUB/supremum.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/Psupremum.con.
+inline "cic:/CoRN/reals/Bridges_LUB/Psupremum.con".
 
 (* the following definitions are not used in *)
 
 (* this file but later we will need them     *)
 
-inline cic:/CoRN/reals/Bridges_LUB/is_lower_bound.con.
+inline "cic:/CoRN/reals/Bridges_LUB/is_lower_bound.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/g_l_b.con.
+inline "cic:/CoRN/reals/Bridges_LUB/g_l_b.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/infimum.con.
+inline "cic:/CoRN/reals/Bridges_LUB/infimum.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/Pinfimum.con.
+inline "cic:/CoRN/reals/Bridges_LUB/Pinfimum.con".
 
 (* UNEXPORTED
-End lub_definitions.
+End lub_definitions
 *)
 
 (* MAIN SECTION *)
 
 (* UNEXPORTED
-Section upper_bound_sequence.
+Section upper_bound_sequence
 *)
 
-inline cic:/CoRN/reals/Bridges_LUB/A.var.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/A.var" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/is_inhabitted.var.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/is_inhabitted.var" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/bounded_above.var.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/bounded_above.var" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/located.var.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/located.var" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/s.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/s.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/Ps.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Ps.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/b0.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/b0.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/Pb0.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/Pb0.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/b0_is_upper_bound.con.
+inline "cic:/CoRN/reals/Bridges_LUB/b0_is_upper_bound.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/s_inhabits_A.con.
+inline "cic:/CoRN/reals/Bridges_LUB/s_inhabits_A.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/dstart_l.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_l.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/dstart_r.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/dstart_r.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/dl_less_dr.con.
+inline "cic:/CoRN/reals/Bridges_LUB/dl_less_dr.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/shrink23d.con.
+inline "cic:/CoRN/reals/Bridges_LUB/shrink23d.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/shrink13d.con.
+inline "cic:/CoRN/reals/Bridges_LUB/shrink13d.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/shrink24d.con.
+inline "cic:/CoRN/reals/Bridges_LUB/shrink24d.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/Real_Interval.con.
+inline "cic:/CoRN/reals/Bridges_LUB/Real_Interval.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze.con.
+inline "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze_strong.con.
+inline "cic:/CoRN/reals/Bridges_LUB/dcotrans_analyze_strong.con".
+
+(* NOTATION
+Notation "( p , q )" := (pairT p q).
+*)
 
-inline cic:/CoRN/reals/Bridges_LUB/dif_cotrans.con.
+inline "cic:/CoRN/reals/Bridges_LUB/dif_cotrans.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/dif_cotrans_strong.con.
+inline "cic:/CoRN/reals/Bridges_LUB/dif_cotrans_strong.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/dIntrvl.con.
+inline "cic:/CoRN/reals/Bridges_LUB/dIntrvl.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/U.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/U.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/V.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/V.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/W.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/W.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/delta_dIntrvl.con.
+inline "cic:/CoRN/reals/Bridges_LUB/delta_dIntrvl.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/Length_dIntrvl.con.
+inline "cic:/CoRN/reals/Bridges_LUB/Length_dIntrvl.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_l_n.con.
+inline "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_l_n.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_r_n.con.
+inline "cic:/CoRN/reals/Bridges_LUB/dIntrvl_inside_r_n.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/V_increase.con.
+inline "cic:/CoRN/reals/Bridges_LUB/V_increase.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/W_decrease.con.
+inline "cic:/CoRN/reals/Bridges_LUB/W_decrease.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/U_m_n_V.con.
+inline "cic:/CoRN/reals/Bridges_LUB/U_m_n_V.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/U_m_n_W.con.
+inline "cic:/CoRN/reals/Bridges_LUB/U_m_n_W.con".
 
 (*  These lemma are *very* similar to those in  *)
 
 (*  Cauchy_rationals_approach_reals.v           *)
 
-inline cic:/CoRN/reals/Bridges_LUB/a_familiar_simple_inequality.con.
+inline "cic:/CoRN/reals/Bridges_LUB/a_familiar_simple_inequality.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/U_conversion_rate2.con.
+inline "cic:/CoRN/reals/Bridges_LUB/U_conversion_rate2.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/CS_seq_U.con.
+inline "cic:/CoRN/reals/Bridges_LUB/CS_seq_U.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/U_as_CauchySeq.con.
+inline "cic:/CoRN/reals/Bridges_LUB/U_as_CauchySeq.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/B.con.
+inline "cic:/CoRN/reals/Bridges_LUB/LUBP/upper_bound_sequence/B.con" "LUBP__upper_bound_sequence__".
 
-inline cic:/CoRN/reals/Bridges_LUB/U_minus_V.con.
+inline "cic:/CoRN/reals/Bridges_LUB/U_minus_V.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/U_minus_W.con.
+inline "cic:/CoRN/reals/Bridges_LUB/U_minus_W.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/U_V_upper.con.
+inline "cic:/CoRN/reals/Bridges_LUB/U_V_upper.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/U_W_lower.con.
+inline "cic:/CoRN/reals/Bridges_LUB/U_W_lower.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_V.con.
+inline "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_V.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_W.con.
+inline "cic:/CoRN/reals/Bridges_LUB/AbsSmall_U_W.con".
 
 (* Two properties of exponentiation in COrdFields *)
 
-inline cic:/CoRN/reals/Bridges_LUB/nexp_resp_great_One.con.
+inline "cic:/CoRN/reals/Bridges_LUB/nexp_resp_great_One.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/very_weak_binomial.con.
+inline "cic:/CoRN/reals/Bridges_LUB/very_weak_binomial.con".
 
 (* A consequence of Archimedean property -         *)
 
 (* the every basis of definition of e=lim(1+1/n)^n *)
 
-inline cic:/CoRN/reals/Bridges_LUB/nexp_resp_Two.con.
+inline "cic:/CoRN/reals/Bridges_LUB/nexp_resp_Two.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/twisted_archimedean.con.
+inline "cic:/CoRN/reals/Bridges_LUB/twisted_archimedean.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/B_limit_V.con.
+inline "cic:/CoRN/reals/Bridges_LUB/B_limit_V.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/B_limit_W.con.
+inline "cic:/CoRN/reals/Bridges_LUB/B_limit_W.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/W_n_is_upper.con.
+inline "cic:/CoRN/reals/Bridges_LUB/W_n_is_upper.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/A_bounds_V_n.con.
+inline "cic:/CoRN/reals/Bridges_LUB/A_bounds_V_n.con".
 
-inline cic:/CoRN/reals/Bridges_LUB/cauchy_gives_lub.con.
+inline "cic:/CoRN/reals/Bridges_LUB/cauchy_gives_lub.con".
 
 (* UNEXPORTED
-End upper_bound_sequence.
+End upper_bound_sequence
 *)
 
 (* UNEXPORTED
-End LUBP.
+End LUBP
 *)
 
 (* end hide *)