freescale porting, work in progress

[helm.git] / helm / software / matita / contribs / CoRN-Decl / ftc / MoreIntegrals.ma

diff --git a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntegrals.ma b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntegrals.ma
index 062018bf97caea93fe06710fd26f4854b9b4affb..88fff5d7a1ef943e1366aa3aa5131a7f91f9bf5a 100644 (file)
--- a/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntegrals.ma
+++ b/helm/software/matita/contribs/CoRN-Decl/ftc/MoreIntegrals.ma
@@ -16,18 +16,16 @@
 
 set "baseuri" "cic:/matita/CoRN-Decl/ftc/MoreIntegrals".
 
+include "CoRN.ma".
+
 (* $Id: MoreIntegrals.v,v 1.6 2004/04/23 10:00:59 lcf Exp $ *)
 
-(* INCLUDE
-Integral
-*)
+include "ftc/Integral.ma".
 
-(* INCLUDE
-MoreFunctions
-*)
+include "ftc/MoreFunctions.ma".
 
 (* UNEXPORTED
-Section Lemmas.
+Section Lemmas
 *)
 
 (*#* printing Integral %\ensuremath{\int}% #∫# *)
@@ -50,22 +48,22 @@ partial functions continuous in [[Min(a,b),Max(a,b)]].
 Before we define the new integral we need to some trivial interval inclusions.
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/a.var.
+alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/Lemmas/a.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/b.var.
+alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/Lemmas/b.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hab.var.
+alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/Lemmas/Hab.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/compact_inc_Min_lft.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/compact_inc_Min_lft.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/compact_inc_Min_rht.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/compact_inc_Min_rht.con".
 
 (* UNEXPORTED
-End Lemmas.
+End Lemmas
 *)
 
 (* UNEXPORTED
-Section Definitions.
+Section Definitions
 *)
 
 (*#*
@@ -76,26 +74,26 @@ classical definition, and it collapses to the old one in the case [a
  [<=]  b].
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/a.var.
+alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/a.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/b.var.
+alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/b.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hab.var.
+alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/Hab.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/F.var.
+alias id "F" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/F.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/HF.var.
+alias id "HF" = "cic:/CoRN/ftc/MoreIntegrals/Definitions/HF.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_inc1.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_inc1.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_inc2.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_inc2.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_integral.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_integral.con".
 
 (* UNEXPORTED
-End Definitions.
+End Definitions
 *)
 
 (* UNEXPORTED
@@ -103,7 +101,7 @@ Implicit Arguments Integral [a b Hab F].
 *)
 
 (* UNEXPORTED
-Section Properties_of_Integral.
+Section Properties_of_Integral
 *)
 
 (*#* **Properties of the Integral
@@ -112,71 +110,71 @@ All our old properties carry over to this new definition---and some
 new ones, too.  We begin with (strong) extensionality.
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/a.var.
+alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/a.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/b.var.
+alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/b.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hab.var.
+alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/Hab.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/F.var.
+alias id "F" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/F.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/G.var.
+alias id "G" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/G.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/contF.var.
+alias id "contF" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/contF.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/contG.var.
+alias id "contG" = "cic:/CoRN/ftc/MoreIntegrals/Properties_of_Integral/contG.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_strext.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_strext.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_strext'.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_strext'.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_wd.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_wd.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_wd'.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_wd'.con".
 
 (*#*
 The integral is a linear operator.
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_const.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_const.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_comm_scal.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_comm_scal.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_plus.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_plus.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_inv.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_inv.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_minus.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_minus.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/linear_Integral.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/linear_Integral.con".
 
 (*#*
 If the endpoints are equal then the integral vanishes.
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_empty.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_empty.con".
 
 (*#*
 And the norm provides an upper bound for the absolute value of the integral.
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_leEq_norm.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_leEq_norm.con".
 
 (* UNEXPORTED
-End Properties_of_Integral.
+End Properties_of_Integral
 *)
 
 (* UNEXPORTED
-Section More_Properties.
+Section More_Properties
 *)
 
 (*#*
 Two other ways of stating the addition law for domains.
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/integral_plus_Integral.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/integral_plus_Integral.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/integral_plus_integral'.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/integral_plus_integral'.con".
 
 (*#*
 And now we can prove the addition law for domains with our general operator.
@@ -185,81 +183,81 @@ And now we can prove the addition law for domains with our general operator.
 %\end{convention}%
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/a.var.
+alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/a.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/b.var.
+alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/b.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/c.var.
+alias id "c" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/c.var".
 
 (* begin show *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hab'.var.
+alias id "Hab'" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hab'.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hac'.var.
+alias id "Hac'" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hac'.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hcb'.var.
+alias id "Hcb'" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hcb'.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc'.var.
+alias id "Habc'" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc'.var".
 
 (* end show *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/F.var.
+alias id "F" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/F.var".
 
 (* begin show *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hab.var.
+alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hab.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hac.var.
+alias id "Hac" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hac.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hcb.var.
+alias id "Hcb" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Hcb.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc.var.
+alias id "Habc" = "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc.var".
 
 (* end show *)
 
 (* begin hide *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_abc_ab.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_abc_ab.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_abc_ac.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_abc_ac.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_abc_cb.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_abc_cb.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_abc_a.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_abc_a.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_abc_b.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_abc_b.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_abc_c.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_abc_c.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_ab_a.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_ab_a.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_cb_c.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_cb_c.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_ac_a.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_ac_a.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_ab_b.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_ab_b.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_cb_b.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_cb_b.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/le_ac_c.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/le_ac_c.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc_abc.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc_abc.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc_ab.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc_ab.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc_ac.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc_ac.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc_cb.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc_cb.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc_a.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc_a.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc_b.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc_b.con" "More_Properties__".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Habc_c.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/More_Properties/Habc_c.con" "More_Properties__".
 
 (* end hide *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_plus_Integral.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_plus_Integral.con".
 
 (*#*
 Notice that, unlike in the classical case, an extra hypothesis (the
@@ -267,38 +265,38 @@ continuity of [F] in the interval [[Min(a,b,c),Max(a,b,c)]]) must be assumed.
 *)
 
 (* UNEXPORTED
-End More_Properties.
+End More_Properties
 *)
 
 (* UNEXPORTED
-Section Corollaries.
+Section Corollaries
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/a.var.
+alias id "a" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/a.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/b.var.
+alias id "b" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/b.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Hab.var.
+alias id "Hab" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/Hab.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/F.var.
+alias id "F" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/F.var".
 
-inline cic:/CoRN/ftc/MoreIntegrals/contF.var.
+alias id "contF" = "cic:/CoRN/ftc/MoreIntegrals/Corollaries/contF.var".
 
 (*#* As a corollary, we get the following rule: *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_op.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_op.con".
 
 (*#* Finally, some miscellaneous results: *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_less_norm.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_less_norm.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/ub_Integral.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/ub_Integral.con".
 
 (* UNEXPORTED
-End Corollaries.
+End Corollaries
 *)
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_ap_zero.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_ap_zero.con".
 
-inline cic:/CoRN/ftc/MoreIntegrals/Integral_eq_zero.con.
+inline "cic:/CoRN/ftc/MoreIntegrals/Integral_eq_zero.con".